期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 73, 期 7, 页码 2260-2270出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.06.006
关键词
Generalized equilibrium problem; Relatively nonexpansive mapping; Equilibrium problem; Variational inequality; Maximal monotone operator; alpha-inverse-strongly monotone mapping
资金
- Natural Science Foundation of Yibin University [2009Z3]
The purpose of this paper is to prove by using a new hybrid method a strong convergence theorem for finding a common element of the set of solutions for a generalized equilibrium problem, the set of solutions for a variational inequality problem and the set of common fixed points for a pair of relatively non expansive mappings in a Banach space. As applications, we utilize our results to obtain some new results for finding a solution of an equilibrium problem, a fixed point problem and a common zero-point problem for maximal monotone mappings in Banach spaces. (C) 2010 Elsevier Ltd. All rights reserved.
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