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.

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Year of publication:	2011
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
Publisher:	Elsevier
Keywords:	Equilibrium problem Fixed point Nonexpansive mapping Variational inclusion

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008914584