A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings
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Publication Details
Author list: Jaiboon C., Kumam P.
Publisher: Springer
Publication year: 2010
Journal: Journal of Applied Mathematics and Computing (1598-5865)
Volume number: 34
Issue number: #
Start page: 407
End page: 439
Number of pages: 33
ISSN: 1598-5865
eISSN: 1865-2085
Languages: English-Great Britain (EN-GB)
Abstract
In this paper, we introduce and analyze a new general iterative scheme by the viscosity approximation method for finding the common element of the set of equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings and the set solutions of the variational inequality problems for an ξ-inverse-strongly monotone mapping in Hilbert spaces. We show that the sequence converge strongly to a common element of the above three sets under some parameters controlling conditions. The result extends and improves a recent result of Chang et al. (Nonlinear Anal. 70:3307-3319, 2009) and many others. © 2009 Thai Government.
Keywords
ξ-inverse-strongly monotone mapping