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Other titles in the Pure and Applied Mathematics: A WileyInterscience Series of Texts, Monographs and Tracts series:
An Introduction to Metric Spaces and Fixed Point Theory (Pure and Applied Mathematics: A WileyInterscience Series of Texts, Monographs and Tracts)by Mohamed A. Khamsi
Synopses & ReviewsPublisher Comments:A comprehensive, basic level introduction to metric spaces and fixed point theory
An Introduction to Metric Spaces and Fixed Point Theory presents a highly selfcontained treatment of the subject that is accessible for students and researchers from diverse mathematical backgrounds, including those who may have had little training in mathematics beyond calculus. It provides uptodate coverage of the properties of metric spaces and Banach spaces, as well as a detailed summary of the primary concepts of set theory. The authors take a unique approach to the subject by including a number of helpful basic level exercises and using a simple and accessible level of presentation. They provide a highly comprehensive development of what is known in a purely metric contextespecially in hyperconvex spacesand a number of uptodate Banach space results which are too recent to be found in other books on the subject. In addition to introductory coverage of metric spaces and Banach spaces, the authors provide detailed analyses of these important topics in the subject: * Metric contraction principles * Hyperconvex spaces * "Normal" structures in metric spaces * Continuous mappings in Banach spaces * Metric fixed point theory * Banach space ultrapowers Synopsis:* Provides detailed exercises that elucidate more introductory material.
Synopsis:Presents uptodate Banach space results.
* Features an extensive bibliography for outside reading. * Provides detailed exercises that elucidate more introductory material. Description:Includes bibliographical references (p. 289299) and index.
About the AuthorAn 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 coauthor 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 coauthor of Topics in Metric Fixed Point. Table of ContentsPreface.
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. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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