Solving Systems of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces
Hammed Anuoluwapo AbassDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94 Medunsa 0204, Pretoria, South AfricaMaggie AphaneDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94 Medunsa 0204, Pretoria, South AfricaOlawale Kazeem OyewoleDepartment of Mathematics, Tshwane University of Technology, Arcadia, PMB 0007, Pretoria, South AfricaOjen Kumar NarainSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaK. I. MustafoyevCenter of Research and Innovation, Asia International University, Yangiobod MFY, G‘ijduvon Street, House 74, Bukhara, Uzbekistan
2025en
ABI
Аннотация
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.
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