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Topics in Metric Fixed Point Theory : Cambridge Studies in American Literature and Culture - Kazimierz Goebel

Topics in Metric Fixed Point Theory

Cambridge Studies in American Literature and Culture

By: Kazimierz Goebel, W. A. Kirk, B. Bollobas (Editor), W. Fulton (Editor), A. Katok (Editor)

Hardcover Published: 28th September 1990
ISBN: 9780521382892
Number Of Pages: 256

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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.

Industry Reviews

"In short, everything anyone wants to know about metric fixed point theory is discussed somewhere, clearly and with recent proofs where there are any." M. M. Day, Mathematical Reviews

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521382892
ISBN-10: 0521382890
Series: Cambridge Studies in American Literature and Culture
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 256
Published: 28th September 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.47 x 16.31  x 2.16
Weight (kg): 0.58

Earn 662 Qantas Points
on this Book