Strong convergence theorems for variational inequality problems and quasi- $${\phi}$$ -asymptotically nonexpansive mappings

H. Zegeye () and N. Shahzad ()

Journal of Global Optimization, 2012, vol. 54, issue 1, 116 pages

Abstract: In this paper, we introduce an iterative process which converges strongly to a common solution of finite family of variational inequality problems for γ-inverse strongly monotone mappings and fixed point of two continuous quasi- $${\phi}$$ -asymptotically nonexpansive mappings in Banach spaces. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings. Copyright Springer Science+Business Media, LLC. 2012

Keywords: Generalized projection; γ-Inverse strongly monotone mappings; Monotone mappings; Strong convergence; Variational inequality problems; 47H05; 47J05; 47J25 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10898-011-9744-8

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