Iterative Algorithms for Systems of Generalized Equilibrium Problems with the Constraints of Variational Inclusion and Fixed Point Problems

Lu-Chuan Ceng, Abdul Latif and Abdullah E. Al-Mazrooei

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

Abstract: We introduce and analyze a hybrid extragradient‐like viscosity iterative algorithm for finding a common solution of a systems of generalized equilibrium problems and a generalized mixed equilibrium problem with the constraints of two problems: 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 prove the strong convergence of the sequence generated by the proposed algorithm to a common solution of these problems.

Date: 2014
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https://doi.org/10.1155/2014/540381

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:540381

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