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Topological Fixed Point Theory and Its Applications

Fixed Point Theory for Decomposable Sets

Authors: Fryszkowski, Andrzej

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About this book

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.

Reviews

From the reviews:

"The book under review provides a thorough analysis of decomposable sets, the fixed point theory of maps on such sets, and applications of this theory. … provides a comprehensive examination of the theory, starting with the background and preliminaries, going through the essence of the arguments of decomposability, and presenting a variety of applications. … All in all the text is very useful to active researchers … and to the general community including advanced students … ." (Zvi Artstein, Mathematical Reviews, Issue 2005 k)


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4020-2499-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4020-2498-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-90-481-6672-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fixed Point Theory for Decomposable Sets
Authors
Series Title
Topological Fixed Point Theory and Its Applications
Series Volume
2
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-2499-3
DOI
10.1007/1-4020-2499-1
Hardcover ISBN
978-1-4020-2498-6
Softcover ISBN
978-90-481-6672-5
Edition Number
1
Number of Pages
XI, 209
Topics