Study of a special nonlinear problem arising in convex semi-infinite programming (Q844519)
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scientific article; zbMATH DE number 5660166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Study of a special nonlinear problem arising in convex semi-infinite programming |
scientific article; zbMATH DE number 5660166 |
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Study of a special nonlinear problem arising in convex semi-infinite programming (English)
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19 January 2010
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The authors consider convex semi-infinite programming (SIP) problems and present implicit optimality conditions by using a corresponding auxiliary nonlinear programming problem. This latter problem has a particular structure and it is constructed by using the so-called immobile indices and their immobility orders of the original SIP problem. Finally, a discussion of several optimality conditions for convex SIP problems is given, where, in particular, the case without Slater condition is considered.
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convex semi-infinite programming
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optimality conditions
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immobile index
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immobility orders
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0.9005661
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0.8988736
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0.8974986
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0.89602983
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