Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems

Yonghong Yao and Yeong-Cheng Liou

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: The purpose of this paper is to solve the minimization problem of finding x∗ such that x∗ = argminx∈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∗.

Date: 2010
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https://doi.org/10.1155/2010/763506

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:763506

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