Fixed Point Theory and Applications

Klappentext This book provides a clear exposition of the flourishing field of fixed point theory. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: &apos, Ravi Agarwal, Ravi P. Agarwal, Ravi P. (National University of Singapore Agarwal, Ravi P. Meehan Agarwal, Maria Meehan, Donal O'Regan, Donal regan
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 22.03.2001
• EAN: 9780521802505
• ISBN: 978-0-521-80250-5
• No. of pages: 184
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis