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|title: ||On a special nonlinear problem arising in the study of convex SIP problems|
|authors: ||Kostyukova, O. I.|
Tchemisova, T. V.
Yermalinskaya, S. A.
|keywords: ||Semi-Infinite Programming (SIP)|
Nonlinear Programming (NLP)
|issue date: ||2006|
|publisher: ||University of Aveiro|
|abstract: ||We continue a study of convex problems of Semi-In¯nite Programming (SIP)
started in [6, 7]. In the Implicit Optimality Criterion from , we formulated the
optimality conditions for convex SIP problem in terms of such the conditions
for a special Nonlinear Programming (NLP) problem. In the present paper,
we study some speci¯c properties of this nonlinear problem and obtain e±cient
optimality conditions for it. We show that in the case when the constraint
function of the initial SIP problem is analytical, the optimality conditions take
the form of criterion.|
|source: ||Cadernos de Matemática|
|appears in collections||CIDMA - Working paper|
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