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Fixed Point Theory for Decomposable Sets

  • Andrzej¬†Fryszkowski

Part of the Topological Fixed Point Theory and Its Applications book series (TFPT, volume 2)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Andrzej Fryszkowski
    Pages 3-21
  3. Andrzej Fryszkowski
    Pages 23-53
  4. Andrzej Fryszkowski
    Pages 57-58
  5. Andrzej Fryszkowski
    Pages 59-79
  6. Andrzej Fryszkowski
    Pages 81-92
  7. Andrzej Fryszkowski
    Pages 93-105
  8. Andrzej Fryszkowski
    Pages 107-111
  9. Andrzej Fryszkowski
    Pages 115-125
  10. Andrzej Fryszkowski
    Pages 127-138
  11. Andrzej Fryszkowski
    Pages 139-140
  12. Andrzej Fryszkowski
    Pages 141-151
  13. Andrzej Fryszkowski
    Pages 153-162
  14. Andrzej Fryszkowski
    Pages 163-170
  15. Andrzej Fryszkowski
    Pages 171-184
  16. Andrzej Fryszkowski
    Pages 185-198
  17. Back Matter
    Pages 199-209

About this book

Introduction

Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, especially in the theory of multifunctions. A subset K of measurable functions is called decomposable if

(Q) for all and measurable A.

This book attempts to show the present stage of "decomposable analysis" from the point of view of fixed point theory. The book is split into three parts, beginning with the background of functional analysis, proceeding to the theory of multifunctions and lastly, the decomposability property.

Mathematicians and students working in functional, convex and nonlinear analysis, differential inclusions and optimal control should find this book of interest. A good background in fixed point theory is assumed as is a background in topology.

Keywords

Optimal control brandonwiskunde calculus differential inclusions functional analysis

Authors and affiliations

  • Andrzej¬†Fryszkowski
    • 1
  1. 1.Faculty of Mathematics and Information ScienceWarsaw University of TechnologyWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-2499-1
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-2498-6
  • Online ISBN 978-1-4020-2499-3
  • Buy this book on publisher's site