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

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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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.6062
Primary Topic
Optimization and Variational Analysis
Type
article
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article

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

Olawale Kazeem Oyewole, Ojen Kumar Narain, Maggie Aphane, Hammed Anuoluwapo Abass et al.
European Journal of Pure and Applied Mathematics
Optimization and Variational Analysis
article

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

Olawale Kazeem Oyewole, Ojen Kumar Narain, Maggie Aphane, Hammed Anuoluwapo Abass, K. I. Mustafoyev
article en

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.

European Journal of Pure and Applied MathematicsVol. 18(2)
Tshwane University of Technology (ZA), Sefako Makgatho Health Sciences University (ZA), International House (PT), University of KwaZulu-Natal (ZA)
Openalex Percentile: Top 90%
Optimization and Variational Analysis
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Solving Systems of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces — Olawale Kazeem Oyewole, Ojen Kumar Narain, et al. · European Journal of Pure and Applied Mathematics (2025) | TGRS Research Map | TGRS