Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate

SUBJECT

Code
Subject
ME048 Fixed Point Theory and Applications
Section
Semester
Hours: C+S+L
Category
Type
Mathematics - in Romanian
7
2+2+0
optional
Mathematics-Computer Science - in Romanian
7
2+2+0
optional
Applied Mathematics
7
2+2+0
optional
Teaching Staff in Charge
Prof. PETRUSEL Adrian Olimpiu, Ph.D.,  petruselmath.ubbcluj.ro
Aims
To asimilate the basic fixed point principles.
Content
1. Set-theoretical aspects of fixed point theory.
2. Ordered set aspects of fixed point theory.
3. Fioxed point theory in metric spaces.
4. Fixed point theory in banach spaces.
5. Common fixed point therems.
6. Coincidence point theory.
References
1. RUS I.A.: Principii si aplicatii al teoriei punctului fix. Cluj: Ed. Dacia, 1979.
2. SMART D. R.: Fixed point theorems. Cambridge, 1974.
3. DUGUNDIJI J., GRAMAS A.: Fixed point theory. PWN, 1982.
4. RUS I.A.: Teoria punctului fix in structuri algebrice. Cluj, 1971.
5. RUS I.A.: Teoria punctului fix in analiza functionala. Cluj, 1973.
6. AGARWAL R.P., MEEHAN M. and O'REGAN D.: Fixed point theory and applications. Cambridge: Univ. Press, 2001.
7. KIRK W.A. and SIMS B. (eds.): Handbook of metric fixed point theory. Kluwer Acad. Publ., 2001.
Assessment
Exam.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject