Positive Operators and Fixed-Point Theorems with Applications

This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications. It introduces various positive operators and explores their approximation properties, including Korovkin-type theorems, Voronovskaja-type results, convergence rate...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Mohiuddine, S. A. (Editor), Das, Anupam (Editor), Djordjević, Dragan S. (Editor)
Format: Electronic eBook
Language:English
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Edition:1st ed. 2025.
Series:Industrial and Applied Mathematics,
Subjects:
Online Access:https://doi.org/10.1007/978-981-96-2476-8
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Summary:This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications. It introduces various positive operators and explores their approximation properties, including Korovkin-type theorems, Voronovskaja-type results, convergence rate, and other related findings. Additionally, the book addresses the existence of solutions for various differential and integral equations in different Banach spaces by using Darbo-type fixed-point theorems. This book also presents an interplay between positive operators and fixed-point theory. Each chapter is self-contained, addressing a current problem and outlining solutions and potential applications. The chapters provide sufficient background to ensure that new definitions and results can be understood independently.
Physical Description:1 online resource (XII, 180 p. 9 illus.). 8 illus. in color.
ISBN:9789819624768
ISSN:2364-6845
DOI:10.1007/978-981-96-2476-8