Viscosity approximation methods for nonexpansive multimaps in Banach spaces |
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| Authors: | Habtu Zegeye Naseer Shahzad |
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| Affiliation: | 1. Bahir Dar University, P. O. Box 859, Bahir Dar, Ethiopia
2. Department of Mathematics, King Abdul Aziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia
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| Abstract: | We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition “Tz = “z”” on the map T. |
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| Keywords: | nonexpansive retract Banach spaces fixed point inwardness nonexpansive multimap |
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