Nonstandard Methods in Fixed Point Theory

Nonstandard Methods in Fixed Point Theory by Asuman G. Aksoy, Mohamed A. Khamsi.

A unified account of the major new developments inspired by Maurey's application of Banach space ultraproducts to the fixed point theory for non-expansive mappings is given in this text. The first third of the book is devoted to laying a careful foundation for the actual fixed point theoretic r...

Full description

Saved in:
Bibliographic Details
Main Authors: Aksoy, Asuman G. (Author), Khamsi, Mohamed A. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1990.
Edition:1st ed. 1990.
Series:Universitext,
Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Schauder Bases
  • 1
  • I. Filters
  • II. Limits over Filters
  • III.Nets
  • 2
  • I. The Set-Theoretic Ultraproduct
  • II. The Banach Space Ultraproduct
  • III. Finite Representability
  • IV. Super-(M)-Properties and Banach-Saks Properties
  • V. The Ultraproduct of Mappings
  • VI. Tzirelson and James Banach Spaces
  • 3
  • I. An Introduction to Fixed Point Theory
  • II. Basic Definitions and Results
  • III. Basic Results in Ultraproduct Language
  • IV. Some Fixed Point Theorems
  • V. Maurey’s Theorems
  • VI. An Application of Ultranets.

Similar Items