Fixed Point Theory in Distance Spaces

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 a...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Kirk, William (Author), Shahzad, Naseer (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Subjects:
Geometry, Differential.
Topology.
Mathematical models.
Differential Geometry.
Mathematical Modeling and Industrial Mathematics.
Online Access:Texto Completo
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.

Similar Items