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

Fixed Point Theory and Applications
Code
Semes-
ter
Hours: C+S+L
Type
Section
ME048
7
2+2+0
optional
Matematica
ME048
7
2+2+0
optional
Matematică-Informatică
ME048
7
2+2+0
optional
Matematici aplicate
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