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On a general class of multi-valued weakly Picard mappings
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2007, Vol. 326 Issue 2, p772-782. 11p. - Publication Year :
- 2007
-
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]
- Subjects :
- *SET theory
*MATHEMATICS
*AGGREGATED data
*FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 326
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23047437
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.03.016