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Modified general iterative algorithm for an infinite family of nonexpansive mappings in Banach spaces

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Abstract

In this paper we introduce an iterative method for finding a common fixed point of an infinite family of nonexpansive mappings in q-uniformly real smooth Banach space which is also uniformly convex. We proved strong convergence of the proposed iterative algorithms to the unique solution of a variational inequality problem.

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Acknowledgments

The author is grateful to the editor and the reviewers suggestions which improved the contents of the article.

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  1. Department of Mathematics, Michael Okpara University of Agriculture Umudike, Abia State, Nigeria

    Ugwunnadi Godwin Chidi

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  1. Ugwunnadi Godwin Chidi
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Chidi, U.G. Modified general iterative algorithm for an infinite family of nonexpansive mappings in Banach spaces. Afr. Mat. 28, 221–235 (2017). https://doi.org/10.1007/s13370-016-0441-0

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