A New Hybrid Algorithm for a System of Mixed Equilibrium Problems, Fixed Point Problems for Nonexpansive Semigroup, and Variational Inclusion Problem

被引：0
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作者：
Thanyarat Jitpeera
Poom Kumam
机构：
[1] King Mongkut's University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Equilibrium Problem; Nonexpansive Mapping; Real Hilbert Space; Nonempty Closed Convex Subset; Strong Convergence Theorem;
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摘要：
The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infinite family of a [inline-graphic not available: see fulltext]-strict pseudocontraction, the set of solutions of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion problem. Strong convergence of the sequences generated by the proposed iterative scheme is obtained. The results presented in this paper extend and improve some well-known results in the literature.
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