Fixed Point Theory in Distance Spaces

Name: Fixed Point Theory in Distance Spaces
Brand: Springer International Publishing AG
SKU: 9783319109268
Price: 1147 CZK
Availability: InStock

Autor: William Kirk, Naseer Shahzad

Jazyk:

Vazba: Pevná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

Odesíláme za 10-13 dnů

1 147 Kč

This is a monograph on fixed point theory, covering the purely metric aspects of the theory particul...

Informace o knize

Autor

William Kirk, Naseer Shahzad

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2014

Stránek

173

EAN

9783319109268

ISBN

331910926X

Enbook ID

05166405

Vydavatel

Springer International Publishing AG

Hmotnost

4085

Rozměry

155 x 235 x 16

Kompletní popis

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. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi s theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric structure. These specifically include the geodesic spaces, length spaces and CAT(0) spaces. Part III focuses on distance spaces that are not necessarily metric. These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of metric spaces, in that they satisfy relaxed versions of the triangle inequality, as well as other spaces whose distance properties do not fully satisfy the metric axioms.

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Fixed Point Theory in Distance Spaces

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také