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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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.
Giới thiệu về tác giả
An Introduction to Metric Spaces and Fixed Point Theory includes anextensive 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, Ph D, 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, Ph D, 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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