Description: Multivalued Analysis and Nonlinear Programming Problems with Perturbations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): B. Luderer, L. Minchenko, T. Satsura Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781441952363, 978-1441952363 Synopsis 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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Book Title: Multivalued Analysis and Nonlinear Programming Problems with P...
Number of Pages: 210 Pages
Publication Name: Multivalued Analysis and Nonlinear Programming Problems with Perturbations
Language: English
Publisher: Springer-Verlag New York Inc.
Item Height: 235 mm
Subject: Mathematics
Publication Year: 2010
Type: Textbook
Item Weight: 349 g
Author: L. Minchenko, T. Satsura, B. Luderer
Item Width: 155 mm
Series: Nonconvex Optimization and Its Applications
Format: Paperback
