Split common fixed point problem for Bregman demigeneralized mappings in Banach spaces with applications

Volume 13, Issue 5, pp 270--283 http://dx.doi.org/10.22436/jnsa.013.05.04

Publication Date: March 08, 2020 Submission Date: October 31, 2019 Revision Date: January 23, 2020 Accteptance Date: January 28, 2020

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Authors

Bashir Ali - Department of Mathematical Sciences, Bayero University, Kano, Nigeria. G. C. Ugwunnadi - Department of Mathematics , University of Eswatini, Private Bag 4, Kwaluseni, Eswatini. M. S. Lawan - Department of Mathematics and Statistics, Kaduna Polytechnic, Kaduna, Nigeria.

Abstract

In this paper, we study the split common fixed point problem in reflexive Banach spaces, we obtain a strong convergence theorem for approximating a solution of the split common fixed point problem for Bregman demigeneralized mapping. Our result extend and improve important recent results announced by many authors.

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Keywords

• Bregman distance
• Bregman demigeneralized mappings
• split common fixed point problem
• fixed point
• Banach spaces

MSC

•  47H09
•  47J25

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