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Home > Education > Mathematics > Fixed Point Theory and Applications-eBook
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Fixed Point Theory and Applications
 
 
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This book provides a clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, among others. 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 current interest in analysis, with topological considerations playing 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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Title of ebook: Fixed Point Theory and Applications
ISBN: 9780511032585
Publisher: Cambridge University Press
Internet download file size: 1230 kb
Released online for download: 03-21-1997
Author of eBook: Agarwal, Ravi P.
Author of eBook: Meehan, Maria
Author of eBook: O'Regan, Donal