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2010 Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems
Yonghong Yao, Yeong-Cheng Liou
Abstr. Appl. Anal. 2010: 1-19 (2010). DOI: 10.1155/2010/763506

Abstract

The purpose of this paper is to solve the minimization problem of finding x such that x = arg min x Γ x 2 , where Γ stands for the intersection set of the solution set of the equilibrium problem and the fixed points set of a nonexpansive mapping. We first present two new composite algorithms (one implicit and one explicit). Further, we prove that the proposed composite algorithms converge strongly to x .

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Yonghong Yao. Yeong-Cheng Liou. "Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems." Abstr. Appl. Anal. 2010 1 - 19, 2010. https://doi.org/10.1155/2010/763506

Information

Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1203.49048
MathSciNet: MR2726615
Digital Object Identifier: 10.1155/2010/763506

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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