"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Nonlinear operators theory
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME273
2
2+1+1
7
compulsory
Matematică Aplicată
Teaching Staff in Charge
Prof. RUS Ioan, Ph.D.,  iarusmath.ubbcluj.ro
Prof. PETRUSEL Adrian Olimpiu, Ph.D.,  petruselmath.ubbcluj.ro
Aims
The abstract theory of Picard and weakly Picard operators is presented.
Content
1. Picard operators. Examples, general properties.
2. Weakly Picard operators. Examples, general properties.
3. Data dependence of the fixed point set.
4. Operatorial inequalities, Gronwall type inequalities, differential inequalities.
5. Comparison theorems
References
1. RUS I.A.: Principii si aplicatii ale teoriei punctului fix.
2. RUS I.A.: Generalized contractions and applications. Cluj: University Press, 2001.
3. RUS I.A. si IANCU C.: Modelare matematica. Cluj-Napoca: Transilvania Press, 2000.
4. DEIMLING K.: Nonlinear Functional Analysis. Berlin: Springer, 1985.
5. KIRK W. A. and SIMS B.(eds.): Handbook of Metric Fixed Point Theory. Dordrecht: Kluwer Acad. Publ., 2001.
Assessment
Exam