Strong convergence of an iterative method for pseudo-contractive and monotone mappings

Habtu Zegeye () and Naseer Shahzad ()

Journal of Global Optimization, 2012, vol. 54, issue 1, 173-184

Abstract: In this paper, we introduce an iterative process which converges strongly to a common element of fixed points of pseudo-contractive mapping and solutions of variational inequality problem for monotone mapping. As a consequence, we provide an iteration scheme which converges strongly to a common element of set of fixed points of finite family continuous pseudo-contractive mappings and solutions set of finite family of variational inequality problems for continuous monotone mappings. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings. Copyright Springer Science+Business Media, LLC. 2012

Keywords: Monotone mappings; Nonexpansive mappings; Pseudocontractive mappings; 47H05; 47J05; 47J25 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10898-011-9755-5

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