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Fixed point theory and applications

Author: Ravi P Agarwal; Maria Meehan; Donal O'Regan
Publisher: Cambridge : Cambridge Univ. Press, 2001.
Series: Cambridge tracts in mathematics, 141.
Edition/Format:  Print book : EnglishView all editions and formats
Summary:

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:  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ravi P Agarwal; Maria Meehan; Donal O'Regan
ISBN: 0521802504 9780521802505
OCLC Number: 247910970
Description: x, 170 Seiten : Diagramme.
Contents: 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.
Series Title: Cambridge tracts in mathematics, 141.
Responsibility: Ravi P. Agarwal ; Maria Meehan ; Donal O'Regan.

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'... can be considered as a handbook containing an introduction from the metric and topological fixed-point theory.' Lech Gorniewicz, Zentralblatt fur Mathematik

 
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