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Approximating fixed point solutions of variational inequalities using explicit iterations for asymptotically nonexpansive semigroup of mappings in Banach spaces

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Our purpose in this article is to introduce two new iterations and studying the strong convergence algorithms for finding approximating solutions of some variational inequalities on the set of common… Click to show full abstract

Our purpose in this article is to introduce two new iterations and studying the strong convergence algorithms for finding approximating solutions of some variational inequalities on the set of common fixed point for a semigroup of asymptotically nonexpansive mappings. The results of this article improve and extend the recent work of Sunthrayuth and Kumam [21].

Keywords: semigroup; variational inequalities; asymptotically nonexpansive; point; solutions variational; fixed point

Journal Title: Fixed Point Theory
Year Published: 2017

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