AN ITERATIVE METHOD FOR MIXED EQUILIBRIUM PROBLEMS, FIXED POINT PROBLEMS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS AND NONEXPANSIVE SEMI-GROUPS

Jingni Ye, Jianhua Huang

Abstract


The purpose of this paper is to introduce an iterative algorithm for finding acommon element of the set of solutions of mixed equilibrium problems, the set of commonfixed point for strictly pseudo-contractive mappings and the set of common fixed points fornonexpansive semi-groups in Hilbert space. Under suitable conditions, we prove some strongconvergence theorems. Our results improve and extend the corresponding results announcedby many others.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)