Synopsis
Fixed-point ideas for advanced math problems
This book from A Fixed Point Theorem by Walter T. Kyner surveys how fixed-point results tie to differential equations, invariant functions, and Lipschitz conditions. It shows how existence and uniqueness can come from careful operator analysis and compactness arguments.
- Learn how linear transforms and inverses are used to build a fixed point for a function.
- See how Schauder’s theorem helps establish existence on a carefully chosen compact set.
- Understand how Lipschitz constants and uniform bounds ensure stability and continuous dependence on parameters.
- Discover connections to Marcus’ and Hufford’s results and how they influence the approach.
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A Fixed Point Theorem (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book provides a groundbreaking fixed point theorem with far-reaching implications in perturbation theory. The theorem unifies and extends previous results by Hufford and Marcus, offering a comprehensive framework for analyzing the behavior of dynamical systems under small disturbances. The author meticulously establishes the conditions under which a unique fixed point exists and demonstrates its continuous dependence on system parameters. The book culminates in a rigorous proof of the theorem, showcasing its significance in the study of differential equations and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332748150_0
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A Fixed Point Theorem Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332748150
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A Fixed Point Theorem Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332748150
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