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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.