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Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings
Authors:Ying Liu
Affiliation:(1) Department of Mathematics, Shanghai Normal University, Shanghai, China;(2) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan;
Abstract:
In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively weak nonexpansive mapping and the set of solutions of a variational inequality in a Banach space. Our results extend and improve the recent ones announced by Li (J Math Anal Appl 295:115–126, 2004), Jianghua (J Math Anal Appl 337:1041–1047, 2008), and many others.
Keywords:
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