O. I. Kostyukova, M. V. Kulagina, “Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions”, PFMT, 2017, no. 1(30), 47

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2017, Issue 1(30), Pages 47–53 (Mi pfmt487)

MATHEMATICS

Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions

O. I. Kostyukova^a, M. V. Kulagina^b

^a Institute of Mathematics of National Academy of Sciences of Belarus, Minsk
^b F. Scorina Gomel State University

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Abstract: Convex semi-infinite programming problem with polyhedral index sets and faithfully convex constraint functions are considered. An explicit optimality criterion is formulated and proved for the given class of problems. A comparative analysis of this criterion with known optimality conditions is performed. An illustrative example is presented.

Keywords: semi-infinite programming, convex programming, immobile index, immobility order, faithfully convex function.

Received: 21.10.2016

Document Type: Article

UDC: 519.85

Language: Russian

Citation: O. I. Kostyukova, M. V. Kulagina, “Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions”, PFMT, 2017, no. 1(30), 47–53

Citation in format AMSBIB

\Bibitem{KosKul17}

\by O.~I.~Kostyukova, M.~V.~Kulagina

\paper Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions

\jour PFMT

\yr 2017

\issue 1(30)

\pages 47--53

\mathnet{http://mi.mathnet.ru/pfmt487}

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Citing articles in Google Scholar: Russian citations, English citations
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