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., petrusel@math.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.	
Bibliography	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.