Fixed Point Theory and Applications 1st Edition by Ravi Agarwal, Maria Meehan, Donal O’Regan – Ebook PDF Instant Download/Delivery: 0521802504, 9780511020940
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Product details:
ISBN 10: 0521802504
ISBN 13: 9780511020940
Author: Ravi P. Agarwal, Maria Meehan, Donal O’Regan
This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach’s contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.
Table of contents:
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Contractions
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Nonexpansive Maps
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Continuation Methods for Contractive and Nonexpansive Mappings
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The Theorems of Brouwer, Schauder and Mönch
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Nonlinear Alternatives of Leray–Schauder Type
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Continuation Principles for Condensing Maps
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Fixed Point Theorems in Conical Shells
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Fixed Point Theory in Hausdorff Locally Convex Linear Topological Spaces
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Contractive and Nonexpansive Multivalued Maps
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Multivalued Maps with Continuous Selections
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Multivalued Maps with Closed Graph
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Degree Theory
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Tags: Ravi Agarwal, Maria Meehan, Donal O’Regan, Theory