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Set-valued Optimization

An Introduction with Applications - Previously published in hardcover
BuchKartoniert, Paperback
765 Seiten
Englisch
Springererschienen am22.09.2016Softcover reprint of the original 1st ed. 2015
Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR106,99
BuchGebunden
EUR106,99

Produkt

KlappentextSet-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces.
Details
ISBN/GTIN978-3-662-51036-0
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2016
Erscheinungsdatum22.09.2016
AuflageSoftcover reprint of the original 1st ed. 2015
ReiheVector Optimization
Seiten765 Seiten
SpracheEnglisch
Gewicht1175 g
IllustrationenXXII, 765 p. 29 illus.
Artikel-Nr.15665263

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Order Relations and Ordering Cones.- Continuity and Differentiability.- Tangent Cones and Tangent Sets.- Nonconvex Separation Theorems.- Hahn-Banach Type Theorems.- Hahn-Banach Type Theorems.- Conjugates and Subdifferentials.- Duality.- Existence Results for Minimal Points.- Ekeland Variational Principle.- Derivatives and Epiderivatives of Set-valued Maps.- Optimality Conditions in Set-valued Optimization.- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities.- Numerical Methods for Solving Set-valued Optimization Problems.- Applications.mehr
Kritik
"In this monograph, the first one entirely devoted to the subject, the authors present a unified treatment of the state of the art of most of the developments in this field. ... It is very well written and contains numerous results and examples and over 600 references. ... I wholeheartedly recommend this book to anyone interested in new trends in optimization, in particular, researchers who are interested in multiobjective/vector-optimization and its interconnection with variational analysis." (Miguel Sama, Mathematical Reviews, December, 2015)

"The monograph contains a very large number of interesting, new or at least recent results not only in the fields of set-valued optimization together with many examples illustrating them. It is an interesting scientific resource for all researchers investigating problems of mathematical optimization.I can highly recommend it to graduate and PhD students as well as to scientists working in the fields of nonsmooth, multicriterial or set-valued optimization." (S. Dempe, Optimization, July, 2015)

"This massive and very well-written book will probably be for many years the primary reference in set-valued optimization, the area of optimization where the objective and/or constraint functions of the considered problems are set-valued maps. ... this book will be a solid reference for everyone interested in set-valued optimization, be they graduate students or established scientists." (Sorin-Mihai Grad, zbMATH 1308.49004, 2015)mehr

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