Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings

摘要

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.