Exploratory Research Project
PN-III-P4-ID-PCE-2016-0190
Contract:
96/12.07.2017, financed by UEFISCDI – Romanian
Executive Agency for Higher Education, Research, Development and Innovation
Project duration: 30 months (12/07/2017 – 31/12/2019)
Project title: Equilibrium and optimization problems:
theoretical and computational approaches
Project manager: Professor Gábor KASSAY, Ph.D.
Babeş-Bolyai University, Cluj-Napoca
Faculty of Mathematics and
Computer Science
Department of Mathematics
1, Kogălniceanu Street
400084 Cluj-Napoca, Romania
|
|
Prof. Gábor KASSAY, Ph.D. – project leader E-mail: kassay
[ at ] math
[ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~kassay/ |
|
|
Prof. Nicolae POPOVICI, Ph.D. habil. E-mail: popovici
[ at ] math
[ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~popovici/ |
|
|
Assoc. prof. Cornel Sebastian PINTEA, Ph.D. E-mail: cpintea
[ at ] math [ dot ] ubbcluj [ dot ] ro URL: http://math.ubbcluj.ro/~cpintea/ |
|
|
Assoc. prof. Szilárd Csaba LÁSZLÓ, Ph.D. habil. E-mail: laszlosziszi
[ at ] yahoo [ dot ] com URL: https://sites.google.com/site/laszloszilardcsaba/ |
|
|
Assoc. prof.
Zsolt DARVAY, Ph.D. E-mail: darvay
[ at ] cs [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/~darvay |
|
|
Lecturer prof. Anca GRAD, Ph.D. E-mail:
ancagrad [ at ] math [ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~ancagrad |
|
|
Lecturer prof. Livia Mihaela BERCHEŞAN (MIHOLCA), Ph.D. E-mail: Livia [ dot ] Berchesan [ at ] math [
dot ] utcluj [ dot ] ro URL: http://www.math.utcluj.ro/Matematica_utcluj_2017-2018b.htm |
|
|
Corina
BLIDAR, Ph.D. student E-mail: corina [ dot ] blidar [ at ]
math [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/despre-facultate/structura/departamentul-de-matematica/ |
|
|
Petra-Renáta RIGÓ (TAKÁCS), Ph.D. student E-mail:
takacs [ dot ] petra [ at
] math [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/departamentul-de-matematica-si-informatica-al-liniei-maghiare/, https://det.math.bme.hu/node/1367 |
Project summary and objectives
The project is mainly
motivated by the growing interest in the literature regarding sensitivity,
openness/metric regularity, variational principles, and practical applications
concerning equilibrium and optimization problems, interest which clearly shows
that these fields are appropriate for applying the modern tools of nonlinear
analysis. The aim of the seven objectives of the project is to bring
to light new concepts and approaches within the following specific
topics: parametric equilibrium problems, variational principles for equilibrium
problems, vector optimization problems in connection with differential
inclusions, duality and optimality conditions for set-valued optimization,
numerical methods for equilibrium problems, interior-point methods for scalar
optimization problems, algorithms for image processing, optimal location, and
traffic flow optimization. The specific objectives of our project are:
O1.
Parametric equilibrium problems;
O2.
Variational principles for
vector equilibrium problems;
O3.
Vector optimization problems
in connection with differential inclusions;
O4.
Duality and optimality
conditions for set-valued optimization;
O5.
Numerical methods for
equilibrium problems;
O6.
Interior-point methods for
scalar optimization problems;
O7.
Algorithms for image processing
and optimal location;
|
Period |
Books |
Papers
published/accepted in WOS-indexed journals |
Papers published/accepted
in journals/volumes indexed in international databases |
Papers under
review |
Total |
|
12/07/2017 - 31/12/2017 |
|
12 [items P1- P12 in the list below] |
12 |
||
|
01/01/2018 - 31/12/2018 |
1
[item P15 in the list below] |
12 [items P13, P14 and P16-P25 in
the list below] |
13 |
||
|
01/01/2019 - 31/12/2019 |
7 [items P26, P27-P29 and P32-P34 in the list below] |
4 [items P30, P31, P35 and P37 in the list below] |
1
[item P36 in the list below] |
12 |
|
|
Total |
1 |
31
(sum of impact factors: 41,001) |
4 |
1 |
37 |
P1.
César Gutiérrez, Gábor Kassay, Vicente Novo, Juan-Luis
Ródenas-Pedregosa: Ekeland variational
principles in vector equilibrium problem, SIAM Journal on Optimization,
27 (2017) (4), 2405-2425, DOI 10.1137/17M111883X [JCR Science Edition 2018 IF: 2.876]
P2.
Zsolt Darvay, Petra-Renáta Takács: New method for determining search directions for interior-point
algorithms in linear optimization, Optimization Letters, 12 (2018) (5),
1099-1116, DOI
10.1007/s11590-017-1171-4 [JCR Science Edition 2018 IF: 1.399]
P3.
Monica Bianchi, Gábor Kassay, Rita Pini: On a suffcient condition
for weak sharp effciency in multiobjective
optimization, Journal of Optimization Theory and Applications, 178
(2018) (1), 78-93, DOI:
10.1007/s10957-018-1307-4 [JCR Science Edition 2018 IF: 1.600]
P4.
Gábor Kassay, Trinh Ngoc Hai, Nguyen The Vinh: Coupling
Popov’s algorithm with subgradient extragradient
method for solving equilibrium problems, Journal of Nonlinear and Convex Analysis, 19 (2018) (6), 959-986, http://www.ybook.co.jp/online2/jncav19-6.html [JCR Science Edition 2018 IF: 0.595]
P5.
Suliman Al-Homidan, Qamrul Hasan Ansari, Gábor Kassay: On sensitivity of vector equilibria by means
of the diagonal subdifferential operator, Journal of Nonlinear and
Convex Analysis, 20 (2019) (3), 527-537
[JCR Science Edition 2018 IF: 0.595]
P6.
Kazuki Seto, Daishi Kuroiwa, Nicolae Popovici: A systematization of convexity and quasiconvexity concepts for
set-valued maps, defined by l-type and u-type preorder relations, Optimization, 67
(2018) (7), 1077-1094, DOI: 10.1080/02331934.2018.1454920 [JCR
Science Edition 2018 IF: 1.206], available here
P7.
Christian Günther, Nicolae Popovici: New algorithms for discrete vector
optimization based on the Graef-Younes method and
cone-monotone sorting functions, Optimization, 67 (2018) (7), 975-1003, DOI:
10.1080/02331934.2018.1474469 [JCR
Science Edition 2018 IF: 1.206] a limited number of free
eprints available here
P8.
Ovidiu Bagdasar, Nicolae Popovici: Unifying local-global type
properties in vector optimization, Journal of Global Optimization, 72 (2018) (2), 155–179, DOI: 10.1007/s10898-018-0656-8
[JCR Science Edition 2018 IF: 1.631], available here.
P9.
Cornel Pintea: Convex decompositions of convex open sets with polytopes or finite sets
removed, Journal of Convex Analysis, 26 (2019) (2), 687-698, http://www.heldermann.de/JCA/JCA26/JCA262/jca26036.htm [JCR Science Edition 2018 IF: 0.794]
P10.
Radu-Ioan Boţ, Robert Ernö Cetnek, Szilárd Csaba László:
Approaching nonsmooth nonconvex minimization
through second order proximal-gradient dynamical systems, Journal of
Evolution Equations, 18 (2018) (3), 1291-1318,
DOI:
10.1007/s00028-018-0441-7 [JCR Science Edition 2018 IF: 1.181], Open Access.
P11.
Petra-Renáta Takács, Zsolt Darvay: A primal-dual interior-point algorithm for symmetric optimization based
on a new method for finding search directions, Optimization, 67
(2018) (6), 889-905, DOI:
10.1080/02331934.2018.1432610 [JCR Science Edition 2018 IF: 1.206], a limited number of free
eprints available here
P12.
Livia Mihaela
Bercheṣan (Miholca): Cyclically antimonotone vector equilibrium problems, Optimization, 67 (2018) (12), 2191-2204, DOI: 10.1080/02331934.2018.1523405
[JCR Science Edition 2018 IF: 1.206]
P13.
Zsolt Darvay, Petra-Renáta Takács: Large-step interior-point algorithm for
linear optimization based on a new wide neighbourhood, Central European
Journal of Operations Research, 26 (2018) (3), 551-563, DOI: 10.1007/s10100-018-0524-0
[JCR Science Edition 2018 IF: 1.260],
free online access available here
P14.
Petra-Renáta Rigó, Zsolt Darvay: Infeasible interior-point method for symmetric optimization using a
positive-asymptotic barrier, Computational Optimization and Applications,
71 (2018) (2), 483-508, DOI:
10.1007/s10589-018-0012-4 [JCR Science Edition 2018 IF: 1.906],
free online access available here
P15.
Gábor Kassay, Vicenṭiu Rădulescu:
Equilibrium Problems and
Applications, Academic
Press, ISBN: 978-0-12-811029-4, 400 pages, https://www.elsevier.com/books/equilibrium-problems-and-applications/kassay/978-0-12-811029-4
P16.
Adela Capătă, Gábor Kassay, Suliman Al-Homidan: Existence results for strong vector
equilibrium problems with applications, Journal of Nonlinear and Convex
Analysis, 19 (2018) (7), 1163-1179, available (view-only) here [JCR Science Edition 2018 IF: 0.595]
P17.
Zsolt Darvay, Petra Renáta Rigó: New interior-point algorithm for symmetric optimization
based on a positive-asymptotic barrier function, Numerical Functional
Analysis and Optimization, 39 (2018) (15), 1705-1726, DOI: 10.1080/01630563.2018.1492938
[JCR Science Edition 2018 IF: 0.822], a limited number of free eprints available here
P18.
Ovidiu Bagdasar, Stuart Berry, Sam O’Neill, Nicolae Popovici, Ramachandran Raja: Traffic assignment: Methods and simulations for an alternative
formulation of the fixed demand problem, Mathematics and Computers in Simulation,
155 (2019), 360–373, DOI:
10.1016/j.matcom.2018.08.004 [JCR Science Edition 2018 IF: 1.409], free online acces available here
P19.
Soodabeh Asadi, Hossein Mansouri, Zsolt Darvay, Goran Lesaja,
Maryam Zangiabadi: A long-step feasible
predictor-corrector interior-point algorithm for symmetric cone optimization,
Optimization Methods and Software, 34 (2019) (2), 336-362, DOI:10.1080/10556788.2018.1528248
[JCR Science Edition 2018 IF: 1.206], a limited number of free eprints available here
P20.
Soodabeh Asadi, Hossein Mansouri, Zsolt Darvay, Maryam Zangiabadi,
Nezam Mahdavi-Amiri: Large-Neighborhood
infeasible predictor-corrector algorithm for horizontal linear complementarity
problems over Cartesian product of symmetric cones, Journal of
Optimization Theory and Applications, 180 (2019) (3), 811-829, DOI:
10.1007/s10957-018-1402-6 [JCR Science Edition 2018 IF: 1.600], free online access available
here
P21.
Luminita
Barbu, Gheorghe Morosanu,
Cornel Pintea: A nonlinear elliptic
eigenvalue–transmission problem with Neumann boundary condition, Annali
di Matematica Pura ed Applicata, 198 (2019) (3), 821–836, DOI: 10.1007/s10231-018-0801-5 [JCR Science Edition 2018 IF: 1.268]
P22.
Livia Mihaela
Bercheṣan (Miholca): A
generalized Ekeland’s variational principle for
vector equilibria, Studia Universitatis Babes-Bolyai Mathematica,
64
(2019) (4), 581–592, DOI:
10.24193/subbmath.2019.4.11
P23.
Szilárd Csaba László: Convergence
rates for an inertial algorithm of gradient type associated to a smooth
non-convex minimization, Mathematical Programming, Published online: 01 July 2020, DOI: 10.1007/s10107-020-01534-w
[JCR Science Edition 2018 IF: 2.823]
P24.
Suliman Al-Homidan, Qamrul Hasan Ansari,Gábor Kassay: Vectorial form of Ekeland’s Variational
Principle with applications to vector equilibrium problems, Optimization,
69 (2020) (3), 415-436, DOI: 10.1080/02331934.2019.1589469
[JCR Science Edition 2018 IF: 1.206]
P25.
Suliman Al-Homidan, Qamrul Hasan Ansari,Gábor Kassay: Takahashi's minimization theorem
and some related results in quasi-metric spaces, Journal of Fixed Point Theory and Applications, (2019) 21: 38, DOI: 10.1007/s11784-019-0676-0 [JCR Science Edition 2018 IF: 1.253], available (view-only) here
P26.
Zsolt Darvay, Tibor Illés, Behrouz
Kheirfam, Petra Renáta Rigó: A corrector-predictor
interior-point method with new search direction for linear optimization, Central
European Journal of Operations Research, First Online 15 May 2019, DOI: 10.1007/s10100-019-00622-3,
[JCR IF 2018: 1.260]. available at https://link.springer.com/article/10.1007%2Fs10100-019-00622-3
P27.
Ouayl Chadli, Gábor Kassay, Asma Saidi: On the existence of antiperiodic solutions
for hemivariational inequalities: an equilibrium problem approach, Optimization Letters, Published Online 15 October 2019, DOI: 10.1007/s11590-019-01490-1 ,
[JCR IF 2018: 1.399].
P28.
Ovidiu Bagdasar, Stuart Berry, Nicolae Popovici: Traffic assignment: On the interplay between optimisation and
equilibrium problems, Optimization, Special issue dedicated to
Professor Boris Mordukhovich on the occasion of his 70th birthday, 69 (2020)
(7-8), 1773-1790, [JCR
Science Edition 2018 IF: 1.206] , a limited number of free
eprints available here
P29.
Christian Günther, Nicolae Popovici: Characterizations of explicitly quasiconvex vector functions w.r.t.
polyhedral cones, Journal of
Nonlinear and Convex Analysis, Special
Issue in Memory of Professor Siegfried Schaible, 20 (2019) (12),
2653-2665, [JCR Science Edition 2018 IF: 0.595]
P30.
Elisabeth Köbis, Christian Günther, Nicolae Popovici: Computing minimal elements of finite
families of sets w.r.t. preorder relations in set optimization, Journal of Applied and Numerical Optimization, Special issue dedicated to Boris Polyak, 1 (2019) (2), 131-144, DOI:
10.23952/jano.1.2019.2.04, free online acces available here
P31.
Christian Günther, Nicolae Popovici: The role of nonlinear scalarization functions in characterizing
generalized convex vector functions,
Journal of Applied and
Numerical Optimization, Special
Issue Dedicated to Christiane Tammer, 1 (2019) (3), 325-333, DOI:
10.23952/jano.1.2019.3.09, free online acces available here.
P32.
Monica Bianchi, Gábor Kassay, Rita Pini: Regularization of Brézis
pseudomonotone variational inequalities, Set-Valued and Variational Analysis, Published online: 02
June 2020, DOI: 10.1007/s10107-020-01561-7, [JCR
IF 2018: 1.476]
P33.
Juan Enrique Martínez-Legaz, Cornel Pintea: Closed convex sets with an open
or closed Gauss range, Mathematical Programming, Published online: 08 September 2020, DOI: 10.1007/s10107-020-01534-w
[JCR Science Edition 2018 IF: 2.823]
P34. Zsolt Darvay, Behrouz Kheirfam, Petra Renáta Rigó: A
new wide neighborhood primal-dual second-order corrector algorithm for linear
optimization, Optimization Letters, First Online 24 August 2019, DOI:
10.1007/s11590-019-01468-z, [JCR IF 2018: 1.399]
P35.
Zsolt Darvay, Petra Renáta Rigó, Eszter Szénási: Infeasible
interior-point algorithm for linear optimization based on a new search
direction. In L. Zadnik Stirn, M. Kljajic Borstnar, J. Zerovnic, S. Drobne,
J. Povh (eds.), Proceedings of the 15th International Symposium on Operational
Research SOR'19, Bled, Slovenia, September 25-27, pp. 475-480, 2019.
P36. Suliman Al-Homidan, Qamrul
Hasan Ansari,Gábor Kassay: Bregman type regularization of variational inequalities with Mosco
approximation of the constraint set, under review
P37.
Elisabeth Köbis, Christian Günther, Nicolae Popovici: On strictly minimal elements w.r.t. preorder relations in set-valued optimization, Applied Set-Valued Analysis and Optimization, Special Issue Dedicated
to Alfred Göpfert, 1 (2019) (3), 205-219, DOI:
10.23952/asvao.1.2019.3.02, free online acces
available here
|
Period |
Plenary
invited talks and/or session chair
at international conferences/workshops |
Contributed talks
at international conferences/workshops |
Invited talks
at research seminars abroad |
Talks at
national conferences and research seminars in Romania |
Total |
|
12/07/2017 - 31/12/2017 |
3
[CS6, CS13 and CS16 in the list below] |
3 [CS1, CS2 and CS7 in the list below] |
5
[CS3, CS5,
CS9, CS10 and CS14 in the list below] |
5
[CS4, CS8,
CS11, CS12 and CS15 in the list below] |
16 |
|
01/01/2018 - 31/12/2018 |
2
[CS17 and CS29 in the list below] |
13 [CS20, CS24-CS27, CS30-CS34, CS37 and CS40 in the list below] |
1
[CS35 in
the list below] |
11
[CS18,
CS19, CS21-CS23, CS28, CS38, CS39 and CS41-CS43 in the list below] |
27 |
|
01/01/2019 - 31/12/2019 |
3
[CS58, CS68 and CS69 in the list below] |
14
[CS45-48, CS57, CS59, CS61, CS62, CS64-CS67, CS70
and CS72 in the list below] |
5
[CS49- CS53 and in the list below] |
10
[CS44, CS54-CS56, CS60, CS63, CS71 and CS73-CS75
in the list below] |
32 |
|
Total |
8 |
30 |
11 |
26 |
75 |
CS1. Szilárd Csaba László: Second order dynamical systems with
penalty terms associated to monotone inclusions, GPCO 2017- 7th
German-Polish Conference on Optimization, Będlewo,
Poland, Augut 27 – September 1, 2017, https://www.impan.pl/konferencje/bcc/2017/17-gpco/preliminary_program_18_08_2017ms_4.pdf
CS2. Cornel Pintea: Generalized monotone operators on finite
dimensional spaces. Applications, XΙI International Symposium on
Generalized Convexity and Monotonicity, Hajdúszoboszló,
Hungary, August 27 - September 2, 2017, http://gcm.up.krakow.pl/
CS3. Nicolae Popovici:
Local-global type properties for generalized convex vector functions, Oberseminar Optimierung, Martin
Luther University of Halle, Germany, September 7, 2017, http://optimierung.mathematik.uni-halle.de/veranstaltungen/oberseminaroptimierung/
.
CS4. Anca Grad:
Monotone inclusions through inertial algorithms, 6th International
Conference on Mathematics and Informatics, Târgu Mureş, România, September
7–9, 2017, http://mitis.ro/mathinfo/2017/
CS5. Zsolt Darvay: Interior-point
algorithms from the perspective of neighborhoods and directions, Research
Seminar, Department of Differential Equations, Budapest University of Technology
and Economics, Budapest, Hungary, September 21, 2017.
CS6. Nicolae Popovici (chair
of contributed talks
session Vector-valued optimization and related issues):
Local-global type properties
for generalized convex vector functions, 18th
French – German – Italian Conference
on Optimization, Paderborn, Germany, September 25 - 28, 2017, https://math.uni-paderborn.de/ag/mathematik-und-ihre-anwendungen/fgi-2017/programme/contributed-talks-on-tuesday/
CS7. Petra
Renáta Rigó, Zsolt Darvay, Tibor
Illés: Infeasible interior-point algorithms for
linear optimization problems, The 14th International Symposium on
Operations Research in Slovenia - SOR'17, Bled, Slovenia, September 27-29,
2017, http://sor17.fov.uni-mb.si/
CS8. Nicolae Popovici:
Unifying local-global type
properties in vector optimization, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, October 5, 2017, http://www.cs.ubbcluj.ro/~grupanopt/.
CS9. Gábor Kassay: Existence results for vector equilibrium problems given by a sum of two
functions, Research Seminar, Department
of Applied Mathematics, University of Granada, Spain, October 25, 2017.
CS10. Gábor Kassay: Stability of equilibria via regularity of the diagonal subdifferential
operators, Research Seminar, Department
of Applied Mathematics, University of Granada, Spain, October 27, 2017.
CS11. Petra-Renáta Takács, Zsolt Darvay: New algebraic transformation
for determination of interior-point method for linear programming,
8th Mathematics and Computer Science with Applications Conference, Cluj-Napoca,
Romania, November 3-5, 2017, http://www.cs.ubbcluj.ro/~darvay/eme/mtne2017/.
CS12. Livia Mihaela Bercheşan: Cyclically
antimonotone vector equilibrium problems, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, November 9, 2017, http://www.cs.ubbcluj.ro/~grupanopt/.
CS13. Gábor Kassay (guest of honor and plenary speaker): On a suffcient condition for
weak sharp effciency in multiobjective optimization, International Conference
on Analysis and its Applications, Aligarh Muslim University, Aligarh, India,
Novermber 20 - 22, 2017, https://icaa2017.com/, https://icaa2017.com/plenaryspeakers
CS14. Nicolae Popovici: New
algorithms for solving discrete vector optimization problems, Research
Seminar, Department of Electronics, Computing & Mathematics, University of
Derby, UK, November 22, 2017
CS15. Gábor Kassay: On a sufficient condition for
weak sharp efficiency in multiobjective optimization, Seminar of the Research Group on Analysis and Optimization, Babeş-Bolyai University, Cluj-Napoca, Romania, October
5, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
CS16. Gábor Kassay (organizer of
the special session Equlibrium and vector optimization problems): Coupling Popov’s algorithm with
subgradient extragradient method for solving equilibrium problems, 4th Conference on
Optimization Methods and Software, Havana, Cuba, December 16-20, 2017,.http://wias-berlin.de/workshops/oms2017/
CS17. Gábor Kassay (invited
plenary speaker): Equilibrium problems: are they of fixed point or Hahn-Banach type?, The 7th International Workshop on
Fixed Point Theory & Applications, Dhahran, Saudi Arabia, January
03-04, 2018.
CS18. Szilárd Csaba László:
A second order dynamical system
with variable damping associated to a nonconvex minimization, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, March 1, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS19. Cornel Pintea:
Characterizations of some
properties of the closed convex sets through their Gauss range, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, March 8, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS20. Szilárd Csaba László:
Approaching nonsmooth nonconvex minimization
through second order proximal-gradient dynamical systems, Games, Dynamics
& Optimization (GDO2018), Vienna, Austria, March 13–15, 2018, https://mathematik.univie.ac.at/fileadmin/user_upload/f_mathematik/Vortraege/2017_18/Poster-6.pdf
CS21. Petra Renáta
Rigó: Interior-point methods for
linear complementarity problems, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University, Cluj-Napoca,
Romania, March 15, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS22. Anca Grad:
A penalty scheme with a
backward step and inertial effects, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, March 22, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS23. Nicolae Popovici:
A systematization of convexity
and quasiconvexity concepts for set-valued maps, defined by l-type and u-type
preorder relations, Seminar of the Research Group on Analysis and Optimization, Babeş-Bolyai University, Cluj-Napoca, Romania, March
29, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS24. Gábor Kassay (member of the Scientific Committee): On a sufficient condition for weak sharp efficiency in multiobjective
optimization, First Romanian Itinerant Seminar on Mathematical
Analysis and its Applications (RISMAA), Cluj-Napoca, Romania, April 20-21,
2018, http://www.cs.ubbcluj.ro/1st-rismaa/
CS25. Nicolae Popovici (member of the Scientific
Committee): A systematization of
quasiconvexity concepts for set-valued maps, First Romanian Itinerant
Seminar on Mathematical Analysis and its Applications (RISMAA), Cluj-Napoca,
Romania, April 20-21, 2018, http://www.cs.ubbcluj.ro/1st-rismaa/
CS26. Cornel Pintea:
Characterizations of some
properties of the closed convex sets through their Gauss range,
First Romanian Itinerant Seminar
on Mathematical Analysis and its Applications (RISMAA), Cluj-Napoca, Romania,
April 20-21, 2018, http://www.cs.ubbcluj.ro/1st-rismaa/
CS27. Anca Grad:
A backward step with inertial
effects algorithm solving a monotone inclusion problem, First Romanian Itinerant
Seminar on Mathematical Analysis and its Applications (RISMAA), Cluj-Napoca,
Romania, April 20-21, 2018, http://www.cs.ubbcluj.ro/1st-rismaa/
CS28. Zsolt Darvay: Classes of
search directions in interior-point algorithms for linear complementarity
problems, Seminar of
the Research Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, May 31, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS29. Gábor Kassay (invited plenary speaker): The equilibrium problem:
a unified approach to optimization, minimax problems (game theory), variational
inequalities and other interesting problems, 12th Joint Conference on Mathematics and Computer Science, Săcuieu,
Romania, June 14 – 17, 2018, http://www.cs.ubbcluj.ro/~macs/2018/
CS30. Anca Grad: A monotone
inclusion problem solved through an inertial algorithm with two backward steps, 12th Joint Conference on Mathematics and Computer
Science, Săcuieu, Romania, June 14 – 17, 2018, http://www.cs.ubbcluj.ro/~macs/2018/
CS31. Nicolae Popovici:
A general local-global
extremality principle in vector optimization, International
Conference on Variational Analysis and Nonsmooth Optimization (ICVANO2018) -
dedicated to Boris Mordukhovich, Halle (Saale), Germany, June 28 - July 1,
2018, https://blogs.urz.uni-halle.de/icvano/
CS32. Gábor Kassay: On a
sufficient condition for weak sharp efficiency in multiobjective
optimization, 2018 International Conference on Management and Operations
Research, Beijing Friendship Hotel, Beijing, China, July 7-9, 2018, http://icmor.ustb.edu.cn/
CS33. Livia Mihaela Bercheşan: Cyclically
antimonotone vector equilibrium problems, 29th European Conferefnce on
Operational Research (EURO2018), Valencia, Spain, July 8-11, 2018, http://euro2018valencia.com
CS34. Petra Renáta Rigó, Zsolt Darvay, Tibor Illés: Predictor-corrector interior-point
algorithms for sufficient linear complementarity problems, 16th EUROPT Workshop
on Advances in Continuous Optimization, Almería, Spain, July 12-13, 2018, http://www2.ual.es/EurOPT18/
CS35. Gábor Kassay: The
equilibrium problem: a unified approach to optimization,minimax
problems (game theory), variational inequalities and other interesting problems,
Research Seminar on Optimization, Budapest University of Technology and
Economics, September 20, 2018
CS36. Zsolt Darvay: Adaptive predictor-corrector
interior-point algorithm based on a transformation of the central path, The
17th International Conference on Operational Research KOI 2018, Zadar, Croatia,
September 26-28, http://hdoi.hr/koi2018/
CS37. Petra Renáta Rigó, Zsolt Darvay, Tibor Illés: New algebraic equivalent transformation for
a predictor-corrector interior-point algorithm, The 17th International
Conference on Operational Research KOI 2018, Zadar, Croatia, September 26-28, http://hdoi.hr/koi2018/
CS38. Szilárd Csaba László:
Convergence rates for an
inertial algorithm of gradient type associated to a smooth nonconvex
minimization, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, October 11, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
CS39. Petra Renáta Rigó: Predictor-corrector interior-point
algorithms, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, October 18, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
CS40. Nicolae Popovici: A systematization of quasiconvexity concepts
for set-valued maps, Colloquium Vector- and
Set-Valued Optimization, Wittenberg, Germany, October 25-26, 2018, https://leucorea.de/veranstaltungen/vektoren-und-mengenwertige-optimierung-2/ , Programm
CS41. Cornel Pintea:
Strongly Minkowski sets
revisited, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, October 25, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS42. Nicolae Popovici:
Generalized convexity of vector
functions w.r.t. polyhedral cones, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, November 8, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS43. Cornel Pintea:
A nonlinear
eigenvalue-transmission problem with Neumann boundary condition, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, November 22, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS44. Gábor Kassay: Takahashi’s minimization theorem and some
related results in quasi-metric spaces, Seminar
of the Research Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, December 6, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS45. Zsolt Darvay, Tibor Illés, Behrouz Kheirfam, Petra Renáta Rigó: A new
predictor-corrector interior-point algorithm for linear optimization problem,
VOCAL Optimization Conference: Advanced Algorithms, Esztergom, Hungary,
December 10-12, 2018, http://vocal.p-graph.org/
CS46. Petra Renáta Rigó: New trends in
interior-point algorithms, VOCAL Optimization Conference: Advanced
Algorithms, Esztergom, Hungary, December 10-12, 2018, http://vocal.p-graph.org/
CS47. Zsolt Darvay: A new adaptive
predictor-corrector interior-point algorithm for sufficient linear
complementarity problems, VOCAL Optimization Conference: Advanced
Algorithms, Esztergom, Hungary, December 10-12, 2018, http://vocal.p-graph.org/
CS48. Szilárd Csaba László: A second order dynamical approach with variable
coefficients to nonconvex smooth minimization, Modern Maximal Monotone Operator Theory: From
Nonsmooth Optimization to Differential Inclusions - Workshop on Nonsmooth and
Variational Analysis, January 28-February 1, 2019, Vienna, Austria, https://www.esi.ac.at/events/e29/
CS49. Nicolae Popovici: A
systematization of convexity and quasiconvexity concepts for set-valued maps,
defined by l-type and u-type preorder relations, Bocconi University, Milan, Italy, Department of
Decision Sciences, Research Seminar, February
8, 2019,
CS50. Nicolae Popovici: A general
local-global extremality principle in vector optimization, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 13, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS51. Nicolae Popovici: New algorithms for
solving discrete vector optimization problems, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 14, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS52. Nicolae Popovici: New algorithm for
solving planar multiobjective location problems involving the Manhattan norm, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 15, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS53. Zsolt Darvay: A long-step feasible predictor-corrector interior-point
algorithm for symmetric cone optimization, Research Seminar, Department of Differential
Equations, Budapest University of Technology and Economics, Budapest, Hungary,
February 28, 2019.
CS54. Szilárd Csaba László: On a class of second order dynamical systems with
variable coefficients associated to a nonconvex minimization, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, March 21, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS55. Cornel Pintea: Convex decompositions of some nonconvex open sets, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, March 28, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS56. Gábor Kassay: On sensitivity of vector equilibria by means of the diagonal
subdifferential operator, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, April 4, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS57. Szilárd Csaba László: A primal-dual dynamical approach to a nonsmooth convex
minimization, Games, Dynamics and
Optimization 2019 COST Action CA16228 ”European Network for Game Theory”, April
9 -11, 2019, Cluj-Napoca, Romania, http://gdo2019.com/
CS58. Gábor Kassay (plenary speaker): Vectorial form of Ekeland’s variational
principle with applications to vector equilibrium problems, I Conference on
Minimax Inequalities and Equilibrium Poblems, University of Granada, Spain, 6-7
May 2019, https://congresos.ugr.es/minequmax/program
CS59. Cornel Pintea: A nonlinear elliptic eigenvalue-transmission
problem with Neumann boundary condition, I Conference on Minimax Inequalities and Equilibrium Poblems, University
of Granada, Spain, 6-7 May 2019, https://congresos.ugr.es/minequmax/program
CS60. Szilárd Csaba László:
On quasilinear operators, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, May 16, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS61. Eszter Szénási, Zsolt
Darvay, Petra Renáta Rigó: Interior-point algorithm for linear optimization
based on a new search direction, XXXIII. Hungarian Operations Research
Conference, Szeged, Hungary, May 20-22, 2019, http://www.mot.org.hu/mok2019
CS62. Tibor Illés, Zsolt
Darvay, Petra Renáta Rigó, Janez
Povh: Interior-point algorithms for
linear complementarity problems with transformed central path, XXXIII.
Hungarian Operations Research Conference, Szeged, Hungary, May 20-22, 2019, http://www.mot.org.hu/mok2019
CS63.
Gábor Kassay: Vectorial form of
Ekeland's Variational Principle with applications to vector equilibrium
problems, Seminar of the Research Group on Analysis and
Optimization, Babeş-Bolyai University,
Cluj-Napoca, Romania, May 23, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS64.
Anca Grad: Inertial algorithms for monotone inclusion problems,
16th International Conference on Applied Mathematics and Computer Science,
Technical University of Cluj-Napoca, Romania, July 3-6, 2019.
CS65. Livia Mihaela Bercheşan: Cyclically antimonotone vector equilibrium
problems, 16th International Conference on Applied Mathematics
and Computer Science, Technical University of Cluj-Napoca, Romania, July 3-6,
2019.
CS66. Gábor Kassay: Vectorial form of Ekeland Variational Principle with applications
to vector equilibrium problems, Positivity X, Pretoria, South Africa, July
8-12, 2019, http://positivitymathematics.org/.
CS67. Zsolt Darvay, Tibor Illés, Janez Povh,
Petra Renáta Rigó: Predictor-corrector interior-point algorithm for
sufficient linear complementarity problems based on a new search direction, Sixth International
Conference on Continuous Optimization, Berlin, Germany, August 5-8, 2019, https://iccopt2019.berlin/
CS68. Gábor Kassay (invited speaker): The Ekeland's Variational Principle in optimization and
equilibria, Veszprém Optimization
Workshop dedicated to Béla Vizvári on the occasion of
his 70th birthday, Veszprém, Hungary, August 26 - 27,
2019, http://vow2019.mik.uni-pannon.hu/.
CS69. Zsolt Darvay (invited speaker),
Gizella Noémi Márk: New interior-point algorithm for sufficient linear
complementarity problem, Veszprém
Optimization Workshop dedicated to Béla Vizvári on the
occasion of his 70th birthday, Veszprém, Hungary,
August 26 - 27, 2019, http://vow2019.mik.uni-pannon.hu/.
CS70. Zsolt Darvay,
Petra Renáta Rigó: Infeasible interior-point
algorithm for linear optimization based on a new search direction,
The 15th International Symposium on Operational Research SOR’19, Bled,
Slovenia, September 25-27, 2019, http://sor19.fov.uni-mb.si/
CS71. Nicolae Popovici: New
algorithms for computing the minimal elements of finite families of sets w.r.t. preorder relations, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, October 17, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS72. Nicolae Popovici: Local-global
extremality properties in vector optimization, Colloquium
Vector- and Set-Valued Optimization, Wittenberg, Germany, October 25-26,
2019
CS73. Cornel Pintea: The convex decomposition number and the valence of
some functions, Seminar of the Research Group on Analysis and Optimization, Babeş-Bolyai University, Cluj-Napoca, Romania,
November 21, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS74. Anca Grad: Relaxed
inertial algorithms for monotone inclusion problems, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, November 28, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS75. Szilárd Csaba László:
Possible convergence rates of order O(1/n2)
for some inertial algorithms obtained via the explicit Euler method applied to
a perturbed version of the second order dynamical system that models Nesterov’s accelerated convex gradient method, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Cluj-Napoca, Romania, December 5, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
Habilitation Thesis
Cornel Pintea: The size of critical and
tangency sets, Habilitation Thesis, Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, 2019 [172 pages].
·
Associate Professor
Ovidiu BAGDASAR, Ph.D. (University
of Derby, UK)
- Invited talk: Traffic assignment: Methods and
simulations for an alternative formulation of the fixed demand problem, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, June 7, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
- Invited talk: Automatic design and correction
of ceramic colors: Problem statement, methodology and benefits, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, May 30, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Monica BIANCHI, Ph.D. (Universita
Cattolica del Sacro Cuore di Milano, Italy)
- Research visit at Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca,
June 4-8, 2018;
·
Professor Marco CASTELLANI, Ph.D. (Universitŕ degli Studi dell'Aquila, Italia)
- Research visit at Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca,
May 31 - June 7, 2019;
·
Robert-Ernö CSETNEK, Ph.D. (University of Vienna, Austria)
- Invited talk: Proximal splitting methods for solving nonsmooth convex optimization
problems, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, October 12, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
- Invited talk: Approaching nonsmooth and
nonconvex optimization problems through continuous and discrete proximal-type
algorithms, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, October 26, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
·
Associate Professor
Massimiliano GIULI, Ph.D.
(Universitŕ degli Studi dell'Aquila, Italia)
- Research visit at Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca,
May 31 - June 7, 2019;
- Invited talk: Existence of quasiequilibria in
locally convex metric vector spaces, Seminar of the Research Group on Analysis
and Optimization, Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, June 6, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
· Christian GÜNTHER, Ph.D. (Martin Luther University of Halle, Germany)
- Research visit at Babeş-Bolyai University, Faculty of Mathematics
and Computer Science, Cluj-Napoca, November 3 - 6,
2019;
- Invited talk: Relationships between Clarke-Ye type penalization and vectorial
penalization in multi-objective optimization, Seminar of the Research Group on Analysis
and Optimization, Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, November 4, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Juan Enrique MARTÍNEZ-LEGAZ, Ph.D. (Universitat Autňnoma de Barcelona)
- Invited talk:DC Programming: optimality,
duality and applications, Seminar of the Research Group on Analysis and Optimization, Babeş-Bolyai University, Faculty of Mathematics
and Computer Science, Cluj-Napoca, Romania, April 5, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
·
Enrico MORETTO, Ph.D. (Universita degli Studi dell’Insubria, Varese,
Italy)
- Research visit at Babeş-Bolyai University, Faculty of Mathematics
and Computer Science, Cluj-Napoca, November 9 - 12,
2019;
- Invited talk: Bargaining region in a merger agreement: a diagrammatic approach, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, November 11, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Rita PINI, Ph.D. (Universita degli Studi di Milano Bicocca,
Italy)
- Research visit at Babeş-Bolyai University, Faculty
of Mathematics and Computer Science, Cluj-Napoca,
scheduled June 4-8, 2018;
·
Asma SAIDI, Ph.D. (Ibn Zohr
University Agadir, Morocco)
- Research visit at Babeş-Bolyai University, Faculty of Mathematics
and Computer Science, Cluj-Napoca, May 4-31,
2018;
- Invited talk: An equilibrium problem approach
for the existence of anti-periodic solutions for nonlinear implicit evolution
equations, Seminar of the Research
Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, May 17, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
- Research visit at
Babeş-Bolyai University, Faculty of Mathematics and Computer Science, Cluj-Napoca, April 4-30, 2019;
- Invited talk: Iterative algorithm for systems
of mixed vector equilibrium problems involving set-valued variational-like
inequalities,
Seminar of the Research Group on Analysis and Optimization, Babeş-Bolyai
University, Faculty
of Mathematics and Computer Science, Cluj-Napoca, Romania, April 18, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
The Scientific Report No.1 (on the period of 12/07/2017 - 31/12/2017) is available here
The Scientific Report No.2 (on the period of 01/01/2018 - 31/12/2018) is available here
The Scientific Report No.3 (on the period of 01/01/2019 – up to date) is available here
Updated by Nicolae Popovici on September 10, 2020