Solving Systems of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces

Authors

  • Hammed Abass Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94 Medunsa 0204, Pretoria, South Africa https://orcid.org/0000-0002-4236-3278
  • Prof. Maggie Aphane Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94 Medunsa 0204, Pretoria, South Africa
  • Dr. Olawale K. Oyewole Department of Mathematics, Tshwane University of Technology, Arcadia, PMB 0007, Pretoria, South Africa
  • Dr. Ojen Narain School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • K. I. Mustafoyev Center of Research and Innovation, Asia International University, Yangiobod MFY, G‘ijduvon Street, House 74, Bukhara, Uzbekistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6062

Keywords:

Bregman demigeneralized mapping, monotone operators, self-adapative method, split common fixed point problem

Abstract

In this article, we introduce a self-adaptive method for approximating solutions of split common fixed point problem of Bregman demigeneralized mappings and systems of monotone variational inclusion problem with multiple output sets in reflexive Banach spaces. By employing our iterative method, we prove a strong convergence theorem for approximating solutions of the aforementioned problems. In sum, we state some consequences of our main result. The result discuss in this paper extends and complements many related results in literature. 

Downloads

Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Hammed Abass, Prof. Maggie Aphane, Dr. Olawale K. Oyewole, Dr. Ojen Narain, K. I. Mustafoyev

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Solving Systems of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6062. https://doi.org/10.29020/nybg.ejpam.v18i2.6062