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A strong convergence theorem for finding a common fixed point of a finite family of Bregman nonexpansive mappings in Banach spaces which solves a generalized mixed equilibrium problem

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Abstract

In this paper, we study an iterative method for finding a common fixed point of a finite family of Bregman strongly nonexpansive mappings in real reflexive Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which solve a generalized mixed equilibrium problem. As a special case, we solve mixed variational inequality problems.

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  1. Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran

    Vahid Darvish

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  1. Vahid Darvish
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Darvish, V. A strong convergence theorem for finding a common fixed point of a finite family of Bregman nonexpansive mappings in Banach spaces which solves a generalized mixed equilibrium problem. Boll Unione Mat Ital 9, 421–434 (2016). https://doi.org/10.1007/s40574-016-0059-z

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