Iterative Solution of Fixed Points Problem, System of Generalized Mixed Equilibrium Problems and Variational Inclusion Problems

J. N. Ezeora

Abstract


In this paper, we study an algorithm for nding a common element of the set of common fixed points of an infinite family of asymptotically nonexpansive mappings, the set of common solutions to a system of generalized mixed equilibrium problems and the set of solutions to variational inclusion in a real Hilbert space. We prove that the scheme converges strongly to a common element of the three afore mentioned sets. Finally, we give applications of our results to Optimization problems in a real Hilbert space.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|