Subject: Nonlinear Operators Theory	Code: ME273	

Semester	 Hours: C+S+L	Type	 Section	
2	2+1+1	compulsory	Applied Mathematics	

Teaching Staff in Charge	Prof. PRECUP Radu, Ph.D., r.precup@math.ubbcluj.ro
Prof. PETRUSEL Adrian Olimpiu, Ph.D., petrusel@math.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 theorem	
Selective 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	Exa