Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17845
Title: A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
Authors: Chang, SS
Lee, HWJ 
Chan, CK 
Keywords: α-inverse- strongly monotone mapping
Equilibrium problem
Generalized equilibrium problem
Maximal monotone operator
Relatively nonexpansive mapping
Variational inequality
Issue Date: 2010
Publisher: Pergamon Press
Source: Nonlinear analysis : theory, methods and applications, 2010, v. 73, no. 7, p. 2260-2270 How to cite?
Journal: Nonlinear analysis : theory, methods and applications 
Abstract: The purpose of this paper is to prove by using a new hybrid method a strong convergence theorem for finding a common element of the set of solutions for a generalized equilibrium problem, the set of solutions for a variational inequality problem and the set of common fixed points for a pair of relatively nonexpansive mappings in a Banach space. As applications, we utilize our results to obtain some new results for finding a solution of an equilibrium problem, a fixed point problem and a common zero-point problem for maximal monotone mappings in Banach spaces.
URI: http://hdl.handle.net/10397/17845
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.06.006
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