An Introduction to Metric Spaces and Fixed Point Theory
Published on 14. October 2011
320 pages
978-1-118-03132-2 (ISBN)
Description
Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductorymaterial.
Reviews / Votes
"...deserves to be on the bookshelf of everyone who wants to knowabout fixed-point theory in metric and Banach spaces and expertswho want to read an insightful survey of some basic ideas..."(Mathematical Reviews, 2002b) "Clear, friendly exposition." (American Mathematical Monthly,August/September 2002)More details
Other editions
Additional editions
Software
10/2011
Wiley
€241.88
No shipping information available
Mohamed A. Khamsi | William A. Kirk
An Introduction to Metric Spaces and Fixed Point Theory
Book
04/2001
Wiley
€208.50
Shipment within 10-20 days
Persons
An Introduction to Metric Spaces and Fixed Point Theory includes anextensive bibliography and an appendix which provides a completesummary 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 andfixed point theory makes this the most modern and completeintroduction to the subject available.
MOHAMED A. KHAMSI, PhD, is Professor in the Department ofMathematical Sciences at the University of Texas at El Paso andvisiting Professor in the Department of Mathematics at KuwaitUniversity. He is also co-author of Nonstandard Methods in FixedPoint Theory.
WILLIAM A. KIRK, PhD, is Professor in the Department of Mathematicsat the University of Iowa, Iowa City, Iowa. He has authored over100 journal articles and is co-author of Topics in Metric FixedPoint.
Content
Preface.
METRIC 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.
