CONVERGENCE ANALYSIS FOR SYSTEM OF EQUILIBRIUM PROBLEMS AND LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPING |
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Authors: | Yekini SHEHU |
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Institution: | Department of Mathematics, University of Nigeria, Nsukka, Nigeria |
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Abstract: | In this paper, we 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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Keywords: | left Bregman strongly relatively nonexpansive mapping left Bregman projection equilibrium problem Banach spaces |
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