Positive Operators and Fixed-Point Theorems with Applications : Industrial and Applied Mathematics - S. A. Mohiuddine

Positive Operators and Fixed-Point Theorems with Applications

By: S. A. Mohiuddine (Editor), Anupam Das (Editor), Dragan S. Djordjevi? (Editor)

eText | 29 May 2025

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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.

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