Fixed Point Theory for Decomposable Sets: 2 - Brossura

Fryszkowski, Andrzej

 
9789048166725: Fixed Point Theory for Decomposable Sets: 2
Brossura
ISBN 10: 9048166721 ISBN 13: 9789048166725
Casa editrice: Springer, 2010

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

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)

Contenuti

Preliminaries.- Real and vector measures.- Preliminary notions.- Upper and lower semicontinuous multifunctions.- Measurable multifunctions.- Carathéodory type multifunctions.- Fixed points property for convex-valued mappings.- Decomposable sets.- Selections.- Fixed points property.- Aumann integrals.- Selections of Aumann integrals.- Fixed points for multivalued contractions.- Operator and differential inclusions.- Decomposable analysis.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
9048166721
ISBN 13 
9789048166725
Rilegatura
Copertina flessibile
Numero di pagine
224
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9781402024986: Fixed Point Theory For Decomposable Sets: 2

Edizione in evidenza

ISBN 10:  1402024983 ISBN 13:  9781402024986
Casa editrice: Kluwer Academic Pub, 2004
Rilegato