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

Code	Subject	
ME273	Nonlinear Operators Theory	

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

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 theorems	
Bibliography	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	Exam