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2012 Algorithmic Approach to a Minimization Problem
Yonghong Yao, Shin Min Kang, Yeong-Cheng Liou, Zhitao Wu
Abstr. Appl. Anal. 2012(none): 1-17 (2012). DOI: 10.1155/2012/310801

Abstract

We first construct an implicit algorithm for solving the minimization problem min x x , where Ω is the intersection set of the solution set of some equilibrium problem, the fixed points set of a nonexpansive mapping, and the solution set of some variational inequality. Further, we suggest an explicit algorithm by discretizing this implicit algorithm. We prove that the proposed implicit and explicit algorithms converge strongly to a solution of the above minimization problem.

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Yonghong Yao. Shin Min Kang. Yeong-Cheng Liou. Zhitao Wu. "Algorithmic Approach to a Minimization Problem." Abstr. Appl. Anal. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/310801

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1248.49045
MathSciNet: MR2947721
Digital Object Identifier: 10.1155/2012/310801

Rights: Copyright © 2012 Hindawi

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