Overview
Part of the book series: Topological Fixed Point Theory and Its Applications (TFPT, volume 2)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Fixed Point Theory for Decomposable Sets
Authors: Andrzej Fryszkowski
Series Title: Topological Fixed Point Theory and Its Applications
DOI: https://doi.org/10.1007/1-4020-2499-1
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media B.V. 2004
Hardcover ISBN: 978-1-4020-2498-6Published: 05 August 2004
Softcover ISBN: 978-90-481-6672-5Published: 28 October 2010
eBook ISBN: 978-1-4020-2499-3Published: 21 February 2006
Edition Number: 1
Number of Pages: XI, 209
Topics: Functional Analysis, Convex and Discrete Geometry, Measure and Integration, Ordinary Differential Equations, Calculus of Variations and Optimal Control; Optimization