| Multivalued Analysis and Nonlinear Programming Problems with Perturbations 2003 Edition Contributor(s): Luderer, B. (Author), Minchenko, L. (Author), Satsura, T. (Author) |
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ISBN: 1402010591 ISBN-13: 9781402010590 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: December 2002 Annotation: The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level. |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Medical - Mathematics | Applied |
| Dewey: 519.76 |
| LCCN: 2002038492 |
| Series: Nonconvex Optimization and Its Applications |
| Physical Information: 0.73" H x 6.4" W x 9.5" (1.17 lbs) 210 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |