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Item specifics
- Condition
- PublishedOn
- 2013-11-30
- Title
- Handbook of Metric Fixed Point Theory
- ISBN
- 9789048157334
- Publication Year
- 2011
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Handbook of Metric Fixed Point Theory
- Item Height
- 235mm
- Publisher
- Springer
- Item Width
- 155mm
- Subject
- Mathematics
- Item Weight
- 1086g
- Number of Pages
- 704 Pages
About this product
Product Information
Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.
Product Identifiers
Publisher
Springer
ISBN-13
9789048157334
eBay Product ID (ePID)
178333558
Product Key Features
Publication Name
Handbook of Metric Fixed Point Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
704 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
1086g
Additional Product Features
Country/Region of Manufacture
Netherlands
Editor
W.A. Kirk, B. Sims
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