Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions

Lu-Chuan Ceng, Chi-Ming Chen, Ching-Feng Wen and Chin-Tzong Pang

Abstract and Applied Analysis, 2014, vol. 2014, 1-25

Abstract:

We introduce and analyze a relaxed extragradient-like viscosity iterative algorithm for finding a solution of a generalized mixed equilibrium problem with constraints of several problems: a finite family of variational inequalities for inverse strongly monotone mappings, a finite family of variational inclusions for maximal monotone and inverse strongly monotone mappings, and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under some suitable conditions, we derive the strong convergence of the sequence generated by the proposed algorithm to a common solution of these problems which also solves a variational inequality problem.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:345212

DOI: 10.1155/2014/345212

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