A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space

被引：0
作者：
De-ning Qu
Cao-zong Cheng
机构：
[1] Beijing University of Technology,College of Applied Science
[2] Jilin Normal University,College of Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Common solution; Equilibrium problem; Fixed-point problem; Iterative sequence; Strong convergence;
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摘要：
In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings [inline-graphic not available: see fulltext] and a system of bifunctions [inline-graphic not available: see fulltext] satisfying certain conditions, and the common fixed-point problem (P2) for a family of uniformly quasi-ϕ-asymptotically nonexpansive and locally uniformly Lipschitz continuous or uniformly Hölder continuous mappings [inline-graphic not available: see fulltext] are proposed. A new iterative sequence is constructed by using the generalized projection and hybrid method, and a strong convergence theorem is proved on approximating a common solution of (P1) and (P2) in Banach space.
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