Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem

Tanom Chamnarnpan and Poom Kumam

Journal of Applied Mathematics, 2012, vol. 2012, 1-29

Abstract:

We introduce a new iterative algorithm for solving a common solution of the set of solutions of fixed point for an infinite family of nonexpansive mappings, the set of solution of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion for a β -inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Furthermore, we give a numerical example which supports our main theorem in the last part.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:538912

DOI: 10.1155/2012/538912

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