Overview
Covers four classical fixed point theorems against which metric extensions are usually checked and several new modern theorems on fixed point theory and distances.
Presents a concise accessible document which can be used as an introduction to the subject and its central themes, featuring material collected in a single volume for the first time.
Introduces concepts addressing both mathematical and applied problems, including more formal concepts which have yet to find formal application.
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Table of contents (15 chapters)
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Metric Spaces
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Length Spaces and Geodesic Spaces
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Beyond Metric Spaces
Keywords
About this book
Reviews
“The authors of this interesting monograph are concerned with purely metric aspects of fixed point theory. … this book can serve not only as a timely introduction to metric fixed point theory, but also as a catalyst for further research in this fertile area.” (Simeon Reich, Mathematical Reviews, October, 2015)
“The book is clearly written and contains a very good selection of results in this rapidly growing area of research – fixed points in metric spaces and their generalizations. The sources of the presented results are carefully mentioned as well as references to related results and further investigation … . an essential reference tool for researchers working in fixed point theory as well as for those interested in applications of metric spaces and their generalizations to other areas … .” (S. Cobzaş, Studia Universitatis Babes-Bolyia, Mathematica, Vol. 60 (1), 2015)
“This monograph treats the purely metric aspects of fixed point theory. … This book provides a concise accessible document as an introduction to the metric fixed point theory for readers interested in this area.” (In-Sook Kim, zbMATH 1308.58001, 2015)
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Fixed Point Theory in Distance Spaces
Authors: William Kirk, Naseer Shahzad
DOI: https://doi.org/10.1007/978-3-319-10927-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-10926-8Published: 07 November 2014
Softcover ISBN: 978-3-319-36405-6Published: 23 August 2016
eBook ISBN: 978-3-319-10927-5Published: 23 October 2014
Edition Number: 1
Number of Pages: XI, 173
Topics: Differential Geometry, Topology, Mathematical Modeling and Industrial Mathematics