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Multivalued Analysis and Nonlinear Programming Problems with Perturbations

Language EnglishEnglish
Book Hardback
Book Multivalued Analysis and Nonlinear Programming Problems with Perturbations B. Luderer
Libristo code: 01415077
Publishers Springer, Berlin, November 2006
This book is concerned with topological and differential properties of multivalued mappings and marg... Full description
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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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About the book

Full name Multivalued Analysis and Nonlinear Programming Problems with Perturbations
Language English
Binding Book - Hardback
Date of issue 2007
Number of pages 210
EAN 9781402010590
ISBN 1402010591
Libristo code 01415077
Publishers Springer, Berlin
Weight 508
Dimensions 155 x 235 x 17
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