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  • Research Article
  • Open Access

Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

Journal of Inequalities and Applications20102010:827082

https://doi.org/10.1155/2010/827082

  • Received: 11 December 2009
  • Accepted: 25 January 2010
  • Published:

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

Publisher note

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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.

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