On the implicit programming approach in a class of mathematical programs with equilibrium constraints

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F09%3A00340268" target="_blank" >RIV/67985556:_____/09:00340268 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On the implicit programming approach in a class of mathematical programs with equilibrium constraints

Original language description

In the paper we analyze the influence of implicit programming hypothesis and presence of state constraints on first order optimality conditions to mathematical programs with equilibrium constraints. In the absence of state constraints, we derive sharp stationarity conditions, provided the strong regularity condition holds. In the second part of the paper we suggest an exact penalization of state constraints and test the behavior of standard bundle trust region algorithm on academic examples

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F1957" target="_blank" >GA201/09/1957: Development of methods for solving large scale nonlinear programming and nonsmooth optimization problems</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Control and Cybernetics

ISSN

0324-8569

e-ISSN

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Volume of the periodical

38

Issue of the periodical within the volume

4B

Country of publishing house

PL - POLAND

Number of pages

18

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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