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2009 Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space
Wariam Chuayjan, Sornsak Thianwan
Abstr. Appl. Anal. 2009: 1-22 (2009). DOI: 10.1155/2009/613524

Abstract

We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and theset of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. The results obtained in this paper extend and improve the several recent results in this area.

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Wariam Chuayjan. Sornsak Thianwan. "Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space." Abstr. Appl. Anal. 2009 1 - 22, 2009. https://doi.org/10.1155/2009/613524

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1186.47061
MathSciNet: MR2559279
Digital Object Identifier: 10.1155/2009/613524

Rights: Copyright © 2009 Hindawi

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