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 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.
Preface 1. Contradictions 2. Non-expansive maps 3. Continuation methods for contractive and non-expansive mapping 4. The theorems of Brouwer, Svhauder and Monch 5. Non-linear alternatives of Leray-Schauder type 6. Continuation principles for condensing maps 7. Fixed point theorems in conical shells 8. Fixed point theory in Hausdorff locally convex linear topological spaces 9. Contractive and non-expansive multivalued maps 10. Multivalued maps with continuous selections 11. Multivalued maps with closed graph 12. Degree theory Bibliography Index.
Preface 1. Contradictions 2. Non-expansive maps 3. Continuation methods for contractive and non-expansive mapping 4. The theorems of Brouwer, Svhauder and Monch 5. Non-linear alternatives of Leray-Schauder type 6. Continuation principles for condensing maps 7. Fixed point theorems in conical shells 8. Fixed point theory in Hausdorff locally convex linear topological spaces 9. Contractive and non-expansive multivalued maps 10. Multivalued maps with continuous selections 11. Multivalued maps with closed graph 12. Degree theory Bibliography Index.
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