1. On a general class of multi-valued weakly Picard mappings
- Author
-
Berinde, Mădălina and Berinde, Vasile
- Subjects
- *
SET theory , *MATHEMATICS , *AGGREGATED data , *FIXED point theory - Abstract
Abstract: The concept of weak contraction from the case of single-valued mappings is extended to multi-valued mappings and then corresponding convergence theorems for the Picard iteration associated to a multi-valued weak contraction are obtained. The main results in this paper extend, improve and unify a multitude of classical results in the fixed point theory of single and multi-valued contractive mappings and also improve recent results from the paper [P.Z. Daffer, H. Kaneko, Fixed points of generalized contractive multi-valued mappings, J. Math. Anal. Appl. 192 (1995), 655–666]. [Copyright &y& Elsevier]
- Published
- 2007
- Full Text
- View/download PDF