STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

- Journal title : Journal of the Korean Mathematical Society
- Volume 49, Issue 1, 2012, pp.187-200
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2012.49.1.187

Title & Authors

STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

Kim, Jong-Kyu; Anh, Pham Ngoc; Nam, Young-Man;

Kim, Jong-Kyu; Anh, Pham Ngoc; Nam, Young-Man;

Abstract

In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

Keywords

equilibrium problems;monotone mapping;Lipschitz-type continuous;strong convergence;extragradient algorithm;nonexpansive mapping;

Language

English

Cited by

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WEAK AND STRONG CONVERGENCE OF SUBGRADIENT EXTRAGRADIENT METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS,;

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