A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings

Yaqin Wang, Hongkun Xu and Xiaoli Fang

Journal of Applied Mathematics, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:804642

DOI: 10.1155/2012/804642

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