Strong convergence theorems for variational inequality problems and quasi-{\phi}-asymptotically nonexpansive mappings |
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| Authors: | H Zegeye N Shahzad |
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| Institution: | 1. Departement of Mathematics, University of Botswana, Pvt. Bag 00704, Gaborone, Botswana
2. Department of Mathematics, King Abdul Aziz University, P.O.B. 80203, Jeddah, 21589, Saudi Arabia
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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 ??-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. |
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