- Research Article
- Open Access
Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings
- ShinMin Kang1,
- SunYoung Cho2Email author and
- Zeqing Liu3
Journal of Inequalities and Applications20102010:827082
https://doi.org/10.1155/2010/827082
© Shin Min Kang et al. 2010
- Received: 11 December 2009
- Accepted: 25 January 2010
- Published: 2 February 2010
Abstract
The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of classical variational inequalities, and in the set of fixed points of nonexpansive mappings.
Keywords
- Variational Inequality
- Equilibrium Problem
- Weak Convergence
- Monotone Mapping
- Generalize Equilibrium
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Authors’ Affiliations
(1)
Department of Mathematics and the RINS, Gyeongsang National University, Jinju, 660-701, South Korea
(2)
Department of Mathematics, Gyeongsang National University, Jinju, 660-701, South Korea
(3)
Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, 116029, China
Copyright
© Shin Min Kang et al. 2010
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
