Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
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.
Year of publication: |
2011
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Authors: | Yao, Yonghong ; Cho, Yeol Je ; Liou, Yeong-Cheng |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 212.2011, 2, p. 242-250
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Publisher: |
Elsevier |
Keywords: | Equilibrium problem Fixed point Nonexpansive mapping Variational inclusion |
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