International Journal of Nonlinear Analysis and Applications
Solving split equality monotone inclusion problem of maximal monotone mappings in Banach spaces
Document Type : Research Paper
Author
Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, Ethiopia
Abstract
A new iterative scheme for approximating a solution of the split equality monotone inclusion problem (SEMIP) of maximal monotone mappings in the setting of Banach spaces is introduced. Strong convergence of the sequence generated by the proposed scheme to a solution of the SEMIP is then derived without prior knowledge of operator norms of the linear operators involved. In addition, we provide applications of our method and provide numerical examples to illustrate the convergence of the proposed scheme. Our results generalize, improve and extend many results in the literature.
Keywords
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Volume 15, Issue 12
December 2024Pages 11-23
- Receive Date: 16 March 2022
- Revise Date: 10 November 2023
- Accept Date: 05 December 2023