Ravi P. Agarwal (National University of Singapore), Maria Meehan (Dublin City University), Donal O'Regan (Galway National University of Ireland)

Fixed Point Theory and Applications

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Tracts in Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 184
• Erscheinungstermin: 1. November 2008
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 312g
• ISBN-13: 9780521104197
• ISBN-10: 052110419X
• Artikelnr.: 25686649

Inhaltsangabe

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.