Subject: Fixed Point Theory and Applications	Code: ME048	

Semester	 Hours: C+S+L	Type	 Section	
7	2+2+0	optional	Mathematics	
7	2+2+0	optional	Mathematics-Computer Science	
7	2+2+0	optional	Applied Mathematics	

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	
Selective 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