ENGLISH

Nonstandard Methods in Fixed Point Theory

By Mohamed A. Khamsi (auth.) , Asuman Güven Aksoy

Book information

Publisher
Springer-Verlag New York
Year
1990
ISBN
978-0-387-97364-7, 978-1-4612-3444-9
DOI
10.1007/978-1-4612-3444-9
Language
english
Format
PDF
Filesize
6 MB (6544163 bytes)
Series
Universitext
Edition
1
Pages
139\148
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis

Description

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 results which follow. Set theoretic and Banach space ultraproducts constructions are studied in detail in the second part of the book, while the remainder of the book gives an introduction to the classical fixed point theory in addition to a discussion of normal structure. This is the first book which studies classical fixed point theory for non-expansive maps in the view of non-standard methods.

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