A self-adaptive method for split common null point problems and fixed point problems for multivalued Bregman quasi-nonexpansive mappings in Banach spaces-Reference-Cited by-同舟云学术

A self-adaptive method for split common null point problems and fixed point problems for multivalued Bregman quasi-nonexpansive mappings in Banach spaces

Published:2022 Issue:10 Volume:36 Page:3279-3300
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Jailoka Pachara¹,Suantai Suthep²,Sunthrayuth Pongsakorn³

Affiliation:

1. Department of Mathematics, School of Science, University of Phayao, Phayao, Thailand

2. Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand + Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand

3. Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, Thailand

Abstract

In this paper, we propose a self-adaptive algorithm for solving the split common null point problem and the fixed point problem for multivalued Bregman quasi-nonexpansive mappings in Banach spaces. We prove that the sequence generated by our iterative scheme converges strongly to a common solution of the above-mentioned problems under some suitable conditions. We also apply our main result to split feasibility problems in Banach spaces. Finally, numerical examples are given to support our main theorem. The results presented in this paper improve and extend many recent results in the literature.

Publisher

National Library of Serbia

Subject

General Mathematics

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