Investigating the modified UO-iteration process in Banach spaces by a digraph

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Název: Investigating the modified UO-iteration process in Banach spaces by a digraph
Autoři: Yolacan Esra
Zdroj: Open Mathematics, Vol 23, Iss 1, Pp 133-181 (2025)
Informace o vydavateli: De Gruyter, 2025.
Rok vydání: 2025
Sbírka: LCC:Mathematics
Témata: fixed point, digraph, image deblurring, signal enhancement, 47h09, 47h10, Mathematics, QA1-939
Popis: Graph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen. This surge in interest can largely be attributed to its vast potential for practical applications. It has found uses in various disciplines such as engineering, physical sciences, genetics, computer science, sociology, operations research and economics. Driven and encouraged by these points, we introduce and analyze the convergence theorems for the modified UO-iterative sequences applied to GG-nonexpansive mapping in Banach spaces via a graph. In addition, the modified UO-iterative algorithm’s applications to image deblurring and signal enhancement are demonstrated.
Druh dokumentu: article
Popis souboru: electronic resource
Jazyk: English
ISSN: 2391-5455
Relation: https://doaj.org/toc/2391-5455
DOI: 10.1515/math-2025-0166
Přístupová URL adresa: https://doaj.org/article/c88c896cac0a4558bd195f1beca4123b
Přístupové číslo: edsdoj.88c896cac0a4558bd195f1beca4123b
Databáze: Directory of Open Access Journals
Popis
Abstrakt:Graph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen. This surge in interest can largely be attributed to its vast potential for practical applications. It has found uses in various disciplines such as engineering, physical sciences, genetics, computer science, sociology, operations research and economics. Driven and encouraged by these points, we introduce and analyze the convergence theorems for the modified UO-iterative sequences applied to GG-nonexpansive mapping in Banach spaces via a graph. In addition, the modified UO-iterative algorithm’s applications to image deblurring and signal enhancement are demonstrated.
ISSN:23915455
DOI:10.1515/math-2025-0166