On a special nonlinear problem arising in the study of convex SIP problems
We continue a study of convex problems of Semi-In¯nite Programming (SIP) started in [6, 7]. In the Implicit Optimality Criterion from [6], 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...
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| Other Authors: | , |
| Format: | preprint |
| Language: | eng |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/6230 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/6230 |
| Summary: | We continue a study of convex problems of Semi-In¯nite Programming (SIP) started in [6, 7]. In the Implicit Optimality Criterion from [6], 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. |
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