Geodesic
Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions
Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 47-53

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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, immobility order, faithfully convex function.
Mots-clés : immobile index 
@article{PFMT_2017_1_a7,
     author = {O. I. Kostyukova and M. V. Kulagina},
     title = {Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {47--53},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2017_1_a7/}
}
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O. I. Kostyukova; M. V. Kulagina. Optimality criterion for semi-infinite programming problems with faithfully convex constraint functions. Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 47-53. http://geodesic.mathdoc.fr/item/PFMT_2017_1_a7/