Topics in Metric Fixed Point Theory

Name: Topics in Metric Fixed Point Theory
Price: 102.11 USD
Availability: InStock
ISBN: 9780521382892

ISBN-10: 0521382890

ISBN-13: 9780521382892

Edition: 1990

Authors: Kazimierz Goebel, W. A. Kirk, B. Bollobas, W. Fulton, A. Katok

List price: $164.99

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Description:

Metric fixed point theory has proved a flourishing area of research for the past twenty-five years. This book offers the mathematical community an accessible, self-contained document that can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including nonspecialists and provides a source for examples, references and new approaches for those currently working in the subject.

Book details

List price: $164.99
Copyright year: 1990
Publisher: Cambridge University Press
Publication date: 9/28/1990
Binding: Hardcover
Pages: 256
Size: 6.50" wide x 9.75" long x 0.75" tall
Weight: 1.100
Language: English



Introduction



Preliminaries



Banach+s contraction principle



Nonexpansive mappings: introduction



The basic fixed point theorems for nonexpansive mappings



Scaling the convexity of the unit ball



The modulus of convexity and normal structure



Normal structure and smoothness



Conditions involving compactness



Sequential approximation techniques



Weak sequential approximations



Properties of fixed point sets and minimal sets



Special properties of Hilbert space



Applications to accretivity



Nonstandard methods



Set-valued mappings



Uniformly Lipschitzian mappings



Rotative mappings



The theorems of Brouwer and Schauder



Lipschitzian mappings



Minimal displacement



The retraction problem


References