Khamsi / Kirk An Introduction to Metric Spaces and Fixed Point Theory

1. Auflage 2011
ISBN: 978-1-118-03132-2
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 320 Seiten, E-Book

Reihe: Wiley Series in Pure and Applied Mathematics

Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductorymaterial.

Autoren/Hrsg.

Khamsi, Mohamed A.

Kirk, William A.

Inhaltsverzeichnis

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.

Über Autor(innen)

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.