Multivalued Analysis and Nonlinear Programming Problems With Perturbations: 66 - Rilegato

Luderer, Bernd; Minchenko, Leonid I.; Satsura, Tatyana

 
9781402010590: Multivalued Analysis and Nonlinear Programming Problems With Perturbations: 66
Rilegato
ISBN 10: 1402010591 ISBN 13: 9781402010590
Casa editrice: Kluwer Academic Pub, 2002

Sinossi

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.

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Recensione

From the reviews:

"The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions ... . The material is presented in a clear, rigorous manner. Besides the bibliographical comments ... references to the literature are given within the text. ... the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book ... . the book is a useful contribution to nonsmooth analysis and optimization." (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)

Contenuti

Preface. 1. Basic Notation. 2. Basic Problems of Multivalued Analysis. 3. Properties of Multivalued Mappings. 4. Subdifferentials of Marginal Functions. 5. Derivatives of Marginal Functions. 6. Sensitivity Analysis. Bibliographical Comments. References. Index.

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Editore
Kluwer Academic Pub
Data di pubblicazione
2002
Lingua
Inglese
ISBN 10 
1402010591
ISBN 13 
9781402010590
Rilegatura
Copertina rigida
Numero di pagine
205
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

9781441952363: Multivalued Analysis and Nonlinear Programming Problems with Perturbations: 66

Edizione in evidenza

ISBN 10:  1441952365 ISBN 13:  9781441952363
Casa editrice: Springer, 2010
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