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

Yonghong Yao, Yeol Je Cho and Yeong-Cheng Liou

European Journal of Operational Research, 2011, vol. 212, issue 2, 242-250

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.

Keywords: Equilibrium; problem; Fixed; point; Nonexpansive; mapping; Variational; inclusion (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:212:y:2011:i:2:p:242-250

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