Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems

Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems

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Article ID: iaor20133313
Volume: 212
Issue: 2
Start Page Number: 242
End Page Number: 250
Publication Date: Jul 2011
Journal: European Journal of Operational Research
Authors: , ,
Keywords: Hilbert space
Abstract:

In this paper, we present an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of nonexpansive mappings and the set of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters.

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