Fixed Point Theory in Distance Spaces
Author:   William Kirk ,  Naseer Shahzad
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
ISBN:  

9783319364056


Pages:   173
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Fixed Point Theory in Distance Spaces


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Author:   William Kirk ,  Naseer Shahzad
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   2.934kg
ISBN:  

9783319364056


ISBN 10:   3319364057
Pages:   173
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

​Preface.- Part 1. Metric Spaces.- Introduction.- Caristi’s Theorem and Extensions.- Nonexpansive Mappings and Zermelo’s Theorem.- Hyperconvex metric spaces.- Ultrametric spaces.- Part 2. Length Spaces and Geodesic Spaces.- Busemann spaces and hyperbolic spaces.- Length spaces and local contractions.- The G-spaces of Busemann.- CAT(0) Spaces.- Ptolemaic Spaces.- R-trees (metric trees).- Part 3. Beyond Metric Spaces.- b-Metric Spaces.- Generalized Metric Spaces.- Partial Metric Spaces.- Diversities​.- Bibliography.- Index.

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. Cobzas, 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)


Author Information

W. A. Kirk(1) Naseer Shahzad(2) (1) Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USA E-mail address: william-kirk@uiowa.edu (2) Department of Mathematics, King Abdulaziz University, PO.Box 80203, Jeddah 21589, Saudi Arabia E-mail address: nshahzad@kau.edu.sa

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