Fixed point theory in distance spaces
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The work Fixed point theory in distance spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Fixed point theory in distance spaces
Resource Information
The work Fixed point theory in distance spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Fixed point theory in distance spaces
 Statement of responsibility
 William Kirk, Naseer Shahzad
 Language
 eng
 Summary
 This is a monograph on fixed point theory, covering the purely metric aspects of the theory?particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler?s well known setvalued extension of that theorem, the extension of Banach?s theorem to nonexpansive mappings, and Caristi?s theorem. These comparisons form a significant component of this book. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi?s theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric structure. These specifically include the geodesic spaces, length spaces and CAT(0) spaces. Part III focuses on distance spaces that are not necessarily metric. These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of metric spaces, in that they satisfy relaxed versions of the triangle inequality, as well as other spaces whose distance properties do not fully satisfy the metric axioms
 Cataloging source
 N$T
 Dewey number
 514/.3
 Index
 index present
 LC call number
 QA329.9
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
Context
Context of Fixed point theory in distance spacesWork of
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