Journal article

An inertial method for a solution of split equality of monotone inclusion and the ��-fixed point problems in Banach spaces


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Author list: Solomon Bekele Zegeye, Habtu Zegeye, Mengstu Goa Sangago, Oganeditse A. Boikanyo and Sebsibe Teferi Woldeamanuel

Publisher: John Wiley & Sons, Inc

Publication year: 2023

Journal: Mathematical Methods in the Applied Sciences

Journal acronym: Math. Methods Appl. Sci.

Volume number: 46

Issue number: 2

Start page: 2884

End page: 2905

Number of pages: 22

ISSN: 0170-4214

eISSN: 1099-1476

URL: https://onlinelibrary.wiley.com/doi/10.1002/mma.8678



In this paper, we propose an inertial algorithm for solving split equality of monotone inclusion and ��-fixed point of Bregman relatively ��-nonexpansive mapping problems in reflexive real Banach spaces. Using the Bregman distance function, we prove a strong convergence theorem for the algorithm produced by the method in real reflexive Banach spaces. In addition, we provide some applications of our method and give numerical results to demonstrate the applicability and efficiency of the proposed method.


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Last updated on 2024-23-08 at 16:08