期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 214, 期 1, 页码 186-201出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2007.02.022
关键词
mixed equilibrium problems; hybrid iterative schemes; eta-Strongly convex functions; KKM mappings; nonexpansive mappings; Hilbert spaces
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a mixed equilibrium problem (MEP) and the set of common fixed points of finitely many nonexpansive mappings in a real Hilbert space. First, by using the well-known KKM technique we derive the existence and uniqueness of solutions of the auxiliary problems for the MEP. Second, by virtue of this result we introduce a hybrid iterative scheme for finding a common element of the set of solutions of MEP and the set of common fixed points of finitely many nonexpansive mappings. Furthermore, we prove that the sequences generated by the hybrid iterative scheme converge strongly to a common element of the set of solutions of MEP and the set of common fixed points of finitely many nonexpansive mappings. (C) 2007 Elsevier B.V. All rights reserved.
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