عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441952363
(Number (ISBN
9781475734683
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Multivalued Analysis and Nonlinear Programming Problems with Perturbations
General Material Designation
[Book]
First Statement of Responsibility
by Bernd Luderer, Leonid Minchenko, Tatyana Satsura.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2002.
SERIES
Series Title
Nonconvex Optimization and Its Applications,
Volume Designation
66
ISSN of Series
1571-568X ;
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441952363
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Functional analysis.
Mathematical optimization.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Luderer, Bernd.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Minchenko, Leonid.
Satsura, Tatyana.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307160100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
