Topics in Metric Fixed Point Theory ( Cambridge Studies in Advanced Mathematics )

Publication series :Cambridge Studies in Advanced Mathematics

Author: Kazimierz Goebel; W. A. Kirk  

Publisher: Cambridge University Press‎

Publication year: 1990

E-ISBN: 9780511831690

P-ISBN(Paperback): 9780521382892

Subject: O177.91 Nonlinear Functional Analysis

Keyword: 数值分析

Language: ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Topics in Metric Fixed Point Theory

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.

Chapter

3 Nonexpansive mappings: introduction

4 The basic fixed point theorems for nonexpansive mappings

5 Scaling the convexity of the unit ball

6 The modulus of convexity and normal structure

7 Normal structure and smoothness

8 Conditions involving compactness

9 Sequential approximation techniques for nonexpansive

10 Weak sequential approximations

11 Properties of fixed point sets and minimal sets

12 Special properties of Hilbert space

13 Applications to accretivity

14 Ultrafilter methods

15 Set-valued mappings

16 Uniformly lipschitzian mappings

17 Rotative mappings

18 The theorems of Brouwer and Schauder

19 Lipschitzian mappings

20 Minimal displacement

21 The retraction problem

Appendix: notes and comments

References

Index

The users who browse this book also browse