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Nonstandard Methods in Fixed Point Theory

  • Textbook
  • © 1990

Overview

Authors:
  1. Asuman Güven Aksoy

    1. Department of Mathematics, Claremont McKenna College, Claremont, USA

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  2. Mohamed A. Khamsi

    1. Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-ix
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  2. Schauder Bases

    • Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 1-9

  3. Chapter 1

    • Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 10-18

  4. Chapter 2

    • Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 19-48

  5. Chapter 3

    • Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 49-117

  6. Back Matter

    Pages 118-139
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Claremont McKenna College, Claremont, USA

    Asuman Güven Aksoy

  • Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA

    Mohamed A. Khamsi

Bibliographic Information

  • Book Title: Nonstandard Methods in Fixed Point Theory

  • Authors: Asuman Güven Aksoy, Mohamed A. Khamsi

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4612-3444-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1990

  • Softcover ISBN: 978-0-387-97364-7Published: 06 August 1990

  • eBook ISBN: 978-1-4612-3444-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: IX, 139

  • Topics: Analysis

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