Fixed Point Theory

2003
ISBN: 978-0-387-00173-9
Verlag: Springer

Buch, Englisch, 690 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1221 g

Reihe: Springer Monographs in Mathematics

The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications.

From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS

Zielgruppe

Research

Autoren/Hrsg.

Granas, Andrzej

Dugundji, James

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

§0. Introduction.- I. Elementary Fixed Point Theorems.- II. Theorem of Borsuk and Topological Transversality.- III. Homology and Fixed Points.- IV. Leray-Schauder Degree and Fixed Point Index.- V. The Lefschetz-Hopf Theory.- VI. Selected Topics.- Appendix: Preliminaries.- A. Generalities.- B. Topological Spaces.- C. Linear Topological Spaces.- D. Algebraic Preliminaries.- E. Categories and Functors.- I. General Reference Texts.- II. Monographs, Lecture Notes, and Surveys.- III. Articles.- IV. Additional References.- List of Standard Symbols.- Index of Names.- Index of Terms.

Über Autor(innen)

Andrzej Granas studied in Warsaw and then Moscow, where he earned his doctorate in 1958 under Lazar Lusternik. Since 1958 he has held various research and teaching posts in Poland, Canada, and elsewhere. During the Spring of 1970 he occupied a special chair at the Collège de France. In the early nineties, Dr. Granas founded the journal Topological Methods of Nonlinear Analysis, and since 1992, he has served on the Editorial Board of the Zentralblatt. He is an honorary member of the Gdansk Scientific Society.