Operator Theory: Advances and Applications

Measures of Noncompactness in Metric Fixed Point Theory

Authors: Ayerbe Toledano, J.M., Dominguez Benavides, Tomas, López-Acedo, Genaro

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About this book

What is clear and easy to grasp attracts us; complications deter David Hilbert The material presented in this volume is based on discussions conducted in peri­ odically held seminars by the Nonlinear Functional Analysis research group of the University of Seville. This book is mainly addressed to those working or aspiring to work in the field of measures of noncompactness and metric fixed point theory. Special em­ phasis is made on the results in metric fixed point theory which were derived from geometric coefficients defined by means of measures of noncompactness and on the relationships between nonlinear operators which are contractive for different measures. Several topics in these notes can be found either in texts on measures of noncompactness (see [AKPRSj, [BG]) or in books on metric fixed point theory (see [GK1], [Sm], [Z]). Many other topics have come from papers where the authors of this volume have published the results of their research over the last ten years. However, as in any work of this type, an effort has been made to revise many proofs and to place many others in a correct setting. Our research was made possible by partial support of the D.G.I.C.y'T. and the Junta de Andalucia.

Table of contents (11 chapters)

  • Introduction

    Toledano, J. M. Ayerbe (et al.)

    Pages 1-4

  • The Fixed Point Theorems of Brouwer and Schauder

    Toledano, J. M. Ayerbe (et al.)

    Pages 5-16

  • Measures of Noncompactness

    Toledano, J. M. Ayerbe (et al.)

    Pages 17-44

  • Minimal Sets for a Measure of Noncompactness

    Toledano, J. M. Ayerbe (et al.)

    Pages 45-56

  • Convexity and Smoothness

    Toledano, J. M. Ayerbe (et al.)

    Pages 57-84

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-8920-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-0348-9827-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Measures of Noncompactness in Metric Fixed Point Theory
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
99
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8920-9
DOI
10.1007/978-3-0348-8920-9
Softcover ISBN
978-3-0348-9827-0
Series ISSN
0255-0156
Edition Number
1
Number of Pages
VII, 216
Topics