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|Title:||On a special nonlinear problem arising in the study of convex SIP problems|
|Author:||Kostyukova, O. I.|
Tchemisova, T. V.
Yermalinskaya, S. A.
|Keywords:||Semi-Infinite Programming (SIP)|
Nonlinear Programming (NLP)
|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.|
|Appears in Collections:||CIDMA - Artigos|
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