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

## Author Info

Listed author(s):
• H. Zegeye

()

• N. Shahzad

()

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## 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

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File URL: http://hdl.handle.net/10.1007/s10898-011-9744-8
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## Bibliographic Info

Article provided by Springer in its journal Journal of Global Optimization.

Volume (Year): 54 (2012)
Issue (Month): 1 (September)
Pages: 101-116

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 Handle: RePEc:spr:jglopt:v:54:y:2012:i:1:p:101-116 DOI: 10.1007/s10898-011-9744-8 Contact details of provider: Web page: http://www.springer.com Order Information: Web: http://www.springer.com/business/operations+research/journal/10898

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