Book 2014

Fixed Point Theory in Distance Spaces

Authors:

ISBN: 978-3-319-10926-8 (Print) 978-3-319-10927-5 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages I-XI

  2. Metric Spaces

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-5

      Introduction

    3. No Access

      Chapter

      Pages 7-18

      Caristi’s Theorem and Extensions

    4. No Access

      Chapter

      Pages 19-22

      Nonexpansive Mappings and Zermelo’s Theorem

    5. No Access

      Chapter

      Pages 23-24

      Hyperconvex Metric Spaces

    6. No Access

      Chapter

      Pages 25-36

      Ultrametric Spaces

  3. Length Spaces and Geodesic Spaces

    1. Front Matter

      Pages 37-37

    2. No Access

      Chapter

      Pages 39-45

      Busemann Spaces and Hyperbolic Spaces

    3. No Access

      Chapter

      Pages 47-59

      Length Spaces and Local Contractions

    4. No Access

      Chapter

      Pages 61-64

      The G-Spaces of Busemann

    5. No Access

      Chapter

      Pages 65-94

      CAT(0) Spaces

    6. No Access

      Chapter

      Pages 95-98

      Ptolemaic Spaces

    7. No Access

      Chapter

      Pages 99-110

      \(\mathbb{R}\) -Trees (Metric Trees)

  4. Beyond Metric Spaces

    1. Front Matter

      Pages 111-111

    2. No Access

      Chapter

      Pages 113-131

      b-Metric Spaces

    3. No Access

      Chapter

      Pages 133-139

      Generalized Metric Spaces

    4. No Access

      Chapter

      Pages 141-152

      Partial Metric Spaces

    5. No Access

      Chapter

      Pages 153-158

      Diversities

  5. Back Matter

    Pages 159-173