An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$-fixed point problems in Banach spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Solomon Bekele Zegeye Habtu Zegeye Mengstu Goa Sangago Oganeditse A. Boikanyo Sebsibe Teferi Woldeamanuel

Affiliation:	1. Department of Mathematics, College of Natural and Computational Sciences, Addis Ababa University, PO Box 31167, Addis Ababa, Ethiopia;2. Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana;3. Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana;4. Department of Mathematics, Kotebe Metropolitan University, Addis Ababa, Ethiopia

Abstract:	In this paper, we propose an inertial algorithm for solving split equality of monotone inclusion and $f $$ f $$$ -fixed point of Bregman relatively $f $$ f $$$ -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.

Keywords:	Bregman relatively f$$ f $$-nonexpansive mapping inertial method reflexive Banach spaces split equality of monotone inclusion problem