Fixed Point Theory and Applications: 141 (Cambridge Tracts in Mathematics, Series Number 141) - Softcover

Agarwal, Ravi P.

Softcover

ISBN 10: 052110419X ISBN 13: 9780521104197

Publisher: Cambridge University Press, 2009

Synopsis

This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. 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.

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Review

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

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

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

Book Description

This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 052110419X
• ISBN 13: 9780521104197
• Binding: Paperback
• Edition number: 1
• Number of pages: 184