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Fixed Point Theory and Applications : Cambridge Tracts in Mathematics (Hardcover) - Ravi P. Agarwal

Fixed Point Theory and Applications

Cambridge Tracts in Mathematics (Hardcover)

Hardcover Published: 9th April 2001
ISBN: 9780521802505
Number Of Pages: 184

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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.

Industry Reviews

'... can be considered as a handbook containing an introduction from the metric and topological fixed-point theory.' Lech Gorniewicz, Zentralblatt fur Mathematik

Preface
Contradictions
Non-expansive maps
Continuation methods for contractive and non-expansive mapping
The theorems of Brouwer, Svhauder and Monch
Non-linear alternatives of Leray-Schauder type
Continuation principles for condensing maps
Fixed point theorems in conical shells
Fixed point theory in Hausdorff locally convex linear topological spaces
Contractive and non-expansive multivalued maps
Multivalued maps with continuous selections
Multivalued maps with closed graph
Degree theory
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521802505
ISBN-10: 0521802504
Series: Cambridge Tracts in Mathematics (Hardcover)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 184
Published: 9th April 2001
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.6 x 16.0  x 2.06
Weight (kg): 0.39

Earn 623 Qantas Points
on this Book