Volume no :27, Issue no: 1, May

Journal of Mathematical Sciences: Advances and Applications

A KRASNOSELSKII-TYPE ALGORITHM FOR APPROXIMATING A COMMON FIXED POINT OF A FINITE FAMILY OF MULTIVALUED STRICTLY PSEUDO CONTRACTIVE MAPPINGS IN HILBERT SPACES

Author's: M. Sene, P. Faye and N. Djitté
Pages: [59] - [80]
Received Date: February 12, 2014; Revised March 17, 2014
Submitted by:

Abstract

Let K be a nonempty closed and convex subset of a real Hilbert space H and let be m multivalued strictly pseudo contractive mappings. A Krasnoselskii-type algorithm is constructed and the corresponding sequence is proved to be an approximating fixed point sequence of each i.e., Then, convergence theorems are also proved under appropriate additional conditions. Finally, application to optimization problem with constraints is given.

Keywords

pseudo contractive mappings, multivalued mappings, Hilbert spaces.