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Nonconvex Optimization and Its Applications #66: Multivalued Analysis and Nonlinear Programming Problems with Perturbations

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Nonconvex Optimization and Its Applications #66: Multivalued Analysis and Nonlinear Programming Problems with Perturbations Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Written for students at the graduate level and for experts specializing in optimization, this book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. Properties of marginal functions associated with optimization problems are analyzed under general constraints defined by multivalued mappings, and a unified approach to directional differentiability of functions and multifunctions is given. Luderer teaches mathematics at Chemnitz University of Technology. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This text 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.

Table of Contents

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.

Product Details

ISBN:
9781402010590
Author:
Luderer, Bernd
Publisher:
Springer
Author:
Satsura, T.
Author:
Minchenko, Leonid
Author:
Minchenko, L.
Author:
Satsura, Tatyana
Author:
Luderer, B.
Location:
Boston, MA
Subject:
General
Subject:
Linear Programming
Subject:
Mathematical Analysis
Subject:
Nonlinear programming
Subject:
Set-valued maps.
Subject:
OPTIMIZATION
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
Real functions
Subject:
Functional Analysis
Subject:
Mathematics-Computer
Subject:
Applied
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Mathematical optimization
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Nonconvex Optimization and Its Applications (closed)
Series Volume:
Heft 128v. 66
Publication Date:
December 2002
Binding:
HARDCOVER
Language:
English
Pages:
222
Dimensions:
240 x 160 mm 1100 gr

Related Subjects

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Nonconvex Optimization and Its Applications #66: Multivalued Analysis and Nonlinear Programming Problems with Perturbations New Hardcover
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Product details 222 pages Kluwer Academic Publishers - English 9781402010590 Reviews:
"Synopsis" by , This text 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.
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