Nonstandard Methods in Fixed Point Theory

  • Asuman Güven Aksoy
  • Mohamed A. Khamsi

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 1-9
  3. Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 10-18
  4. Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 19-48
  5. Asuman Güven Aksoy, Mohamed A. Khamsi
    Pages 49-117
  6. Back Matter
    Pages 118-139

About this book

Introduction

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.

Keywords

Banach Space Finite addition banach spaces boundary element method construction development fixed point theory language mapping theorem ultraproduct

Authors and affiliations

  • Asuman Güven Aksoy
    • 1
  • Mohamed A. Khamsi
    • 2
  1. 1.Department of MathematicsClaremont McKenna CollegeClaremontUSA
  2. 2.Department of Mathematical SciencesUniversity of Texas at El PasoEl PasoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3444-9
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97364-7
  • Online ISBN 978-1-4612-3444-9
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book