Journal article

An Inertial Method for Approximating Solutions of Split Equality Problems for Generalized Mixed Equilibrium and
Fixed Points of Multi-Valued Mappings in Banach Spaces


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Publication Details

Subtitle: Common Solutions of Split Equality Equilibrium and Fixed Point problems

Author list: Solomon Bekele Zegeye, Mengistu Goa Sangago, Habtu Zegeye, Sebsibe Teferi Woldeamanuel and P. Kaelo

Publication year: 2026

Journal acronym: CMI

Volume number: 35

Issue number: 2

Start page: 291

End page: 319

Number of pages: 29

ISSN: 1584 – 286X

eISSN: 1843 – 441X

URL: https://www.creative-mathematics.cunbm.utcluj.ro/article/an-inertial-method-for-approximating-solutions-of-split-equality-problems-for-generalized-mixed-equilibrium-and-fixed-points-of-multi-valued-mappings-in-banach-spaces/



In this paper, we introduce and study an inertial method for approximating a solution of the split equality of generalized mixed equilibrium and fixed point of multi-valued quasi-Bregman nonexpansive mapping problems in reflexive real Banach spaces. We also apply our result to the split equality of monotone inclusion and generalized mixed equilibrium problems, the split equality of multi-Objective constrained optimization problems, the multiple-sets split equality feasibility problems and the multiple-sets split equality feasibility problems. In addition, we give numerical results to demonstrate the applicability and efficiency of the proposed method.


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Last updated on 2026-20-05 at 15:00