A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces 被引量：1

A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces

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摘要 In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space.Under suitable conditions,some strong convergence theorems are proved.Our results extend and improve some recent results. In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space.Under suitable conditions,some strong convergence theorems are proved.Our results extend and improve some recent results.

作者 Min LIU Shi Sheng ZHANG

机构地区 Department of Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第6期1061-1070,共10页 数学研究与评论（英文版）

基金 Supported by the Foundation for Young Scholars of the Education Department of Sichuan Province (GrantNo.09ZB102)

关键词 nonexpansive mapping generalized equilibrium problem variational inequality continuous monotone mapping. nonexpansive mapping generalized equilibrium problem variational inequality continuous monotone mapping.

分类号 O177.91 [理学—基础数学]

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