Topics in Metric Fixed Point Theory : 28 (Cambridge Studies in Advanced Mathematics, Series Number 28)

Goebel, Kazimierz ; Kirk, W. A.

ISBN 10: 0521382890 / ISBN 13: 9780521382892

Published by Cambridge University Press, 1990

About this Item

Hbk, viii, 244 pages. A clean unmarked copy in very good condition. Contents : Preliminaries -- Banach Contraction Principle -- Nonexpansive mappings: introduction -- The basic fixed point theorems for nonexpansive mappings -- Scaling the convexity of the unity ball -- The modulus of convexity and normal structure -- Normal structure and smoothness -- Conditions involving compactness -- Sequential approximation techniques for nonexpansive mappings -- Weak sequential approximations -- Properties of fixed point sets and minimal sets -- Special properties of Hilbert space -- Applications to accretivity -- Ultrafilter methods -- Set-valued mappings -- Uniformly Lipschitzian mappings -- Rotative mappings -- The theorems of Brouwer and Schauder -- Lipschitzian mappings -- Minimal displacement -- The retraction problem. [Fixed point theorems (Topology) - Nonlinear operators] w72 / m16578.

Seller Inventory # 016578

Bibliographic Details

• Title: Topics in Metric Fixed Point Theory : 28 (Cambridge Studies in Advanced Mathematics, Series Number 28)
• Publisher: Cambridge University Press
• Publication Date: 1990
• Language: English
• ISBN 10: 0521382890
• ISBN 13: 9780521382892
• Binding: Hardcover
• Condition: Fine
• Dust Jacket Condition: No Jacket

About this title

Synopsis

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 Description

Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.