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Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings

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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.

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Authors and Affiliations

  1. College of Mathematics and Computer, Hebei University, 071002, Baoding, People’s Republic of China

    Ying Liu

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  1. Ying Liu
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Correspondence to Ying Liu.

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Liu, Y. Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings. J Glob Optim 46, 319–329 (2010). https://doi.org/10.1007/s10898-009-9427-x

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  • DOI: https://doi.org/10.1007/s10898-009-9427-x

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