An Introduction to Metric Spaces and Fixed Point Theory
(Sprache: Englisch)
Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.
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Klappentext zu „An Introduction to Metric Spaces and Fixed Point Theory “
Presents up-to-date Banach space results.* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.
Inhaltsverzeichnis zu „An Introduction to Metric Spaces and Fixed Point Theory “
PrefaceMETRIC SPACES
Introduction
Metric Spaces
Metric Contraction Principles
Hyperconvex Spaces
"Normal" Structures in Metric Spaces
BANACH SPACES
Banach Spaces: Introduction
Continuous Mappings in Banach Spaces
Metric Fixed Point Theory
Banach Space Ultrapowers
Appendix: Set Theory
Bibliography
Index
Autoren-Porträt von Mohamed A. Khamsi, William A. Kirk
An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction. Detailed coverage of the newest developments in metric spaces and fixed point theory makes this the most modern and complete introduction to the subject available.MOHAMED A. KHAMSI, PhD, is Professor in the Department of Mathematical Sciences at the University of Texas at El Paso and visiting Professor in the Department of Mathematics at Kuwait University. He is also co-author of Nonstandard Methods in Fixed Point Theory.
WILLIAM A. KIRK, PhD, is Professor in the Department of Mathematics at the University of Iowa, Iowa City, Iowa. He has authored over 100 journal articles and is co-author of Topics in Metric Fixed Point.
Bibliographische Angaben
- Autoren: Mohamed A. Khamsi , William A. Kirk
- 2001, 1. Auflage, 320 Seiten, Maße: 16,2 x 23,8 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471418250
- ISBN-13: 9780471418252
Sprache:
Englisch
Rezension zu „An Introduction to Metric Spaces and Fixed Point Theory “
"...deserves to be on the bookshelf of everyone who wants to know about fixed-point theory in metric and Banach spaces and experts who want to read an insightful survey of some basic ideas..." (Mathematical Reviews, 2002b)"Clear, friendly exposition." (American Mathematical Monthly, August/September 2002)
Pressezitat
"...deserves to be on the bookshelf of everyone who wants to know about fixed-point theory in metric and Banach spaces and experts who want to read an insightful survey of some basic ideas..." (Mathematical Reviews, 2002b)"Clear, friendly exposition." (American Mathematical Monthly, August/September 2002)
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