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Convergence Theorems for Equilibrium and Fixed Point Problems

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Abstract

Our purpose in this paper is to prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.

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  1. Department of Mathematics, University of Nigeria, Nsukka, Nigeria

    Yekini Shehu

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  1. Yekini Shehu
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Communicated by Poom Kumam.

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Shehu, Y. Convergence Theorems for Equilibrium and Fixed Point Problems. Bull. Malays. Math. Sci. Soc. 39, 133–153 (2016). https://doi.org/10.1007/s40840-015-0165-6

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  • DOI: https://doi.org/10.1007/s40840-015-0165-6

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