Nonlinear operators theory |
ter |
|||||
Teaching Staff in Charge |
Prof. RUS Ioan, Ph.D., iarus@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 |
References |
1. I.A.Rus, Principii si aplicatii ale teoriei punctului fix.
2. I.A. Rus, Generalized contractions and applications, Cluj University Press,2001. 3. I.A. Rus si C. Iancu, Modelare matematica, Transilvania Press Cluj-Napoca, 2000. 4. K. Deimling, Nonlinear Functional Analysis, Springer Berlin, 1985. 5. W. A. Kirk and B.Sims(eds.),Handbook of Metric Fixed Point Theory, Kluwer Acad. Publ., Dordrecht, 2001. |
Assessment |
Exam |