Superimposed optimization methods for the mixed equilibrium problem and variational inclusion

Yonghong Yao (), Yeong-Cheng Liou () and Ngai-Ching Wong ()

Journal of Global Optimization, 2013, vol. 57, issue 3, 935-950

Abstract: The purpose of this paper is to construct two superimposed optimization methods for solving the mixed equilibrium problem and variational inclusion. We show that the proposed superimposed methods converge strongly to a solution of some optimization problem. Note that our methods do not involve any projection. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Mixed equilibrium problem; Variational inclusion; Monotone operator; Superimposed optimization method; Resolvent; 58E35; 47J20; 49J740; 47H09; 65J15 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9982-4

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