Hybrid Extragradient‐Like Viscosity Methods for Generalized Mixed Equilibrium Problems, Variational Inclusions, and Optimization Problems

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We introduce and analyze a new hybrid extragradient‐like viscosity iterative algorithm for finding a common solution of a generalized mixed equilibrium problem, 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 mild conditions, we prove the strong convergence of the sequence generated by the proposed algorithm to a common solution of these three problems which also solves an optimization problem.

Date: 2014
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https://doi.org/10.1155/2014/120172

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:120172

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