Multivalued Analysis and Nonlinear Programming Problems with Perturbations

Bernd Luderer

ISBN 10: 1402010591 ISBN 13: 9781402010590

Editorial: Springer-Verlag New York Inc., 2002

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

Editor

Springer-Verlag New York Inc.

Fecha de publicaci�n

2002

Idioma

Ingl�s

ISBN 10

1402010591

ISBN 13

9781402010590

Encuadernaci�n

Hardback

Estado

New

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Sinopsis

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.

Cr�ticas

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)

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