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2012 A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings
Yaqin Wang, Hongkun Xu, Xiaoli Fang
J. Appl. Math. 2012(SI03): 1-15 (2012). DOI: 10.1155/2012/804642

Abstract

The purpose of this paper is to consider a new scheme by the hybrid extragradient-like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality, and the set of fixed points of an infinitely family of strictly pseudocontractive mappings in Hilbert spaces. Then, we obtain a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm. Our results extend and improve the results of Issara Inchan (2010) and many others.

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Yaqin Wang. Hongkun Xu. Xiaoli Fang. "A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings." J. Appl. Math. 2012 (SI03) 1 - 15, 2012. https://doi.org/10.1155/2012/804642

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.49067
MathSciNet: MR2910900
Digital Object Identifier: 10.1155/2012/804642

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI03 • 2012
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