Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

Author:

Agarwal Ravi P,Chen Jia-Wei,Cho Yeol Je

Abstract

Abstract In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results in this field. MSC:26B25, 47H09, 47J05, 47J25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference33 articles.

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