Approximating common solution of variational inclusions and generalized mixed equilibrium problems
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Author list: Jitpeera T., Kumam P.
Publisher: Watam Press
Publication year: 2011
Journal: Dynamics of Continuous Discrete and Impulsive Systems (1201-3390)
Volume number: 18
Issue number: 6
Start page: 813
End page: 837
Number of pages: 25
ISSN: 1201-3390
Languages: English-Great Britain (EN-GB)
Abstract
In this paper, we introduce a new general iterative scheme for finding a common element of the set of solutions a common of generalized mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mapping and inverse-strongly monotone mapping, and the set of the fixed points of a family of finitely nonexpansive mappings in the setting of Hilbert spaces. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Our results improve and extend the corresponding results of Plubtieng and Sriprad (2009), Shehu (2010) and some authors. Copyright ฉ 2011 Watam Press.
Keywords
Ariational inclusion, Strictly pseudo-contraction
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