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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications, 66, Band 66) - Hardcover

Luderer, B.; Minchenko, L.; Satsura, T.

 
9781402010590: Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications, 66, Band 66)
Hardcover
ISBN 10: 1402010591 ISBN 13: 9781402010590
Verlag: Springer, 2002

Inhaltsangabe

This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica­ tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con­ sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica­ tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con­ straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Prof. Dr. Bernd Luderer, Fakultät Mathematik, TU Chemnitz.

Von der hinteren Coverseite

This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica­ tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con­ sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica­ tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con­ straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
1402010591
ISBN 13 
9781402010590
Einband
Gebundene Ausgabe
Anzahl der Seiten
222
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