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عنوان
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

پدید آورنده
by Jiři Outrata, Michal Kočvara, Jochem Zowe.

موضوع
Mathematical optimization.,Mathematics.,Operations research.

رده

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
9781441948045
(Number (ISBN
9781475728255

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
General Material Designation
[Book]
Other Title Information
Theory, Applications and Numerical Results /
First Statement of Responsibility
by Jiři Outrata, Michal Kočvara, Jochem Zowe.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1998.

SERIES

Series Title
Nonconvex Optimization and Its Applications,
Volume Designation
28
ISSN of Series
1571-568X ;

CONTENTS NOTE

Text of Note
I Theory -- 1. Introduction -- 2. Auxiliary Results -- 3. Algorithms of Nonsmooth Optimization -- 4. Generalized Equations -- 5. Stability of Solutions to Perturbed Generalized Equations -- 6. Derivatives of Solutions to Perturbed Generalized Equations -- 7. Optimality Conditions and a Solution Method -- II Applications -- 8. Introduction -- 9. Membrane with Obstacle -- 10. Elasticity Problems with Internal Obstacles -- 11. Contact Problem with Coulomb Friction -- 12. Economic Applications -- Appendices -- A-Cookbook -- A.1 Problem -- A.2 Assumptions -- A.3 Formulas -- B-Basic facts on elliptic boundary value problems -- B.1 Distributions -- B.2 Sobolev spaces -- B.3 Elliptic problems -- C-Complementarity problems -- C.1 Proof of Theorem 4.7 -- C.2 Supplement to proof of Theorem 4.9 -- References.
0

SUMMARY OR ABSTRACT

Text of Note
In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

OTHER EDITION IN ANOTHER MEDIUM

International Standard Book Number
9781441948045

PIECE

Title
Springer eBooks

TOPICAL NAME USED AS SUBJECT

Mathematical optimization.
Mathematics.
Operations research.

PERSONAL NAME - PRIMARY RESPONSIBILITY

Outrata, Jiři.

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Kočvara, Michal.
Zowe, Jochem.

CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY

SpringerLink (Online service)

ORIGINATING SOURCE

Date of Transaction
20190307160400.0

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

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