A new approximation method for common fixed points of families of nonexpansive maps and solution of variational inequalities problems
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In this paper we prove a strong convergence of both implicit and explicit shcemes to a common fixed point of finite family of nonexpansive maps which is also a unique solution of some variational inequality problem in Banach space. The result presented here improve and unify several important results recently announced.
KeywordsNonexpansive mappings Accretive mappings Stictly convex Banach sapces Reflexive Banach spaces Banach limits
Mathematics Subject Classification (2010)47H09 47J25
This work was completed when the first author was visiting the AbdusSalam International Center for Theoretical Physics, Trieste, Italy, as an Associate. He would like to thank the center for hospitality and financial support.
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