Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)
Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)
Resource Information
The item Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 XI, 173 p.
 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 Gspaces of Busemann
 CAT(0) Spaces
 Ptolemaic Spaces
 Rtrees (metric trees)
 Part 3. Beyond Metric Spaces
 bMetric Spaces
 Generalized Metric Spaces
 Partial Metric Spaces
 Diversities
 Bibliography
 Index
 Isbn
 9783319109275
 Label
 Fixed Point Theory in Distance Spaces
 Title
 Fixed Point Theory in Distance Spaces
 Statement of responsibility
 by 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
 http://library.link/vocab/creatorName
 Kirk, William
 Image bit depth
 0
 LC call number
 QA641670
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Shahzad, Naseer.
 SpringerLink
 http://library.link/vocab/subjectName

 Mathematics
 Global differential geometry
 Topology
 Mathematics
 Differential Geometry
 Topology
 Mathematical Modeling and Industrial Mathematics
 Label
 Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 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 Gspaces of Busemann  CAT(0) Spaces  Ptolemaic Spaces  Rtrees (metric trees)  Part 3. Beyond Metric Spaces  bMetric Spaces  Generalized Metric Spaces  Partial Metric Spaces  Diversities  Bibliography  Index
 Dimensions
 unknown
 Extent
 XI, 173 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319109275
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319109275
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319109275
 Label
 Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 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 Gspaces of Busemann  CAT(0) Spaces  Ptolemaic Spaces  Rtrees (metric trees)  Part 3. Beyond Metric Spaces  bMetric Spaces  Generalized Metric Spaces  Partial Metric Spaces  Diversities  Bibliography  Index
 Dimensions
 unknown
 Extent
 XI, 173 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319109275
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319109275
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319109275
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/FixedPointTheoryinDistanceSpacesbyWilliam/SZl9S5QeQo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/FixedPointTheoryinDistanceSpacesbyWilliam/SZl9S5QeQo/">Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/FixedPointTheoryinDistanceSpacesbyWilliam/SZl9S5QeQo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/FixedPointTheoryinDistanceSpacesbyWilliam/SZl9S5QeQo/">Fixed Point Theory in Distance Spaces, by William Kirk, Naseer Shahzad, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>