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Fixed Point Theory for Decomposable Sets

Language EnglishEnglish
Book Paperback
Book Fixed Point Theory for Decomposable Sets Andrzej Fryszkowski
Libristo code: 01974949
Publishers Springer Netherlands, November 2009
Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, es... Full description
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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.

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