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Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces

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Abstract

We study the strong convergence of a regularization proximal point algorithm for the problem of finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space E.

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Authors and Affiliations

  1. Department of Mathematics, Thainguyen University, Thai Nguyen, Vietnam

    Truong Minh Tuyen

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  1. Truong Minh Tuyen
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Correspondence to Truong Minh Tuyen.

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Communicated by Jen-Chih Yao.

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Tuyen, T.M. Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces. J Optim Theory Appl 152, 351–365 (2012). https://doi.org/10.1007/s10957-011-9909-0

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