An Introduction to Metric Spaces and Fixed Point Theory

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John Wiley & Sons, Mar 20, 2001 - Mathematics - 302 pages
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Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.
 

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Contents

Metric Spaces
13
Metric Contraction Principles
41
Hyperconvex Spaces
71
Normal Structures in Metric Spaces
101
Banach Spaces
127
Continuous Mappings in Banach Spaces
171
Metric Fixed Point Theory
197
Banach Space Ultrapowers
243
Set Theory
273
Bibliography
289
Index
301
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About the author (2001)

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.

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