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Fixed Point Theory and Applications
ISBN: 9780521104197 | 052110419X
Edition: 1stFormat: Paperback
Publisher: Cambridge University Press
Pub. Date: 3/19/2009
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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.
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 ba... MORE
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 ba... MORE
| 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 l... MORE | |
| 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. |
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