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An Introduction to Metric Spaces and Fixed Point Theory: 53
Author(s): Mohamed A. Khamsi (Author), William A. Kirk (Author)
- Publisher: Wiley-Interscience
- Publication Date: 9 April 2001
- Edition: 1st
- Language: English
- Print length: 320 pages
- ISBN-10: 0471418250
- ISBN-13: 9780471418252
Book Description
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.
Editorial Reviews
Review
“Clear, friendly exposition.” (American Mathematical Monthly, August/September 2002)
From the Inside Flap
An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained 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 up-to-date 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 context-especially in hyperconvex spaces-and a number of up-to-date 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
From the Back Cover
An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained 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 up-to-date 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 context-especially in hyperconvex spaces-and a number of up-to-date 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
About the Author
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.
