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

Journal of Inequalities and Applications volume 2010, Article number: 827082 (2010) Cite this article

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.

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Affiliations

  1. Department of Mathematics and the RINS, Gyeongsang National University, Jinju, 660-701, South Korea

    ShinMin Kang

  2. Department of Mathematics, Gyeongsang National University, Jinju, 660-701, South Korea

    SunYoung Cho

  3. Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, 116029, China

    Zeqing Liu

Authors
  1. ShinMin Kang
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  2. SunYoung Cho
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  3. Zeqing Liu
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Correspondence to SunYoung Cho.

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Kang, S., Cho, S. & Liu, Z. Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings. J Inequal Appl 2010, 827082 (2010). https://doi.org/10.1155/2010/827082

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Keywords

  • Variational Inequality
  • Equilibrium Problem
  • Weak Convergence
  • Monotone Mapping
  • Generalize Equilibrium