Naseer Shahzad / William Kirk
Fixed Point Theory in Distance Spaces
- Springer International Publishing
- 2016
- Taschenbuch
- 188 Seiten
- ISBN 9783319364056
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 set-valued 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.
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