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2013 Existence and Iterative Approximation Methods for Generalized Mixed Vector Equilibrium Problems with Relaxed Monotone Mappings
Rabian Wangkeeree, Panu Yimmuang
J. Appl. Math. 2013(SI11): 1-11 (2013). DOI: 10.1155/2013/973408

Abstract

We first consider an auxiliary problem for the generalized mixed vector equilibrium problem with a relaxed monotone mapping and prove the existence and uniqueness of the solution for the auxiliary problem. We then introduce a new iterative scheme for approximating a common element of the set of solutions of a generalized mixed vector equilibrium problem with a relaxed monotone mapping and the set of common fixed points of a countable family of nonexpansive mappings. The results presented in this paper can be considered as a generalization of some known results due to Wang et al. (2010).

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Rabian Wangkeeree. Panu Yimmuang. "Existence and Iterative Approximation Methods for Generalized Mixed Vector Equilibrium Problems with Relaxed Monotone Mappings." J. Appl. Math. 2013 (SI11) 1 - 11, 2013. https://doi.org/10.1155/2013/973408

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.47064
MathSciNet: MR3082127
Digital Object Identifier: 10.1155/2013/973408

Rights: Copyright © 2013 Hindawi

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