Abstract
We study smooth semi-infinite optimization problems for which the index set of the inequality constraints is a compact interval. Via a stratification of the feasible set we introduce a critical point concept and we pay special attention to the subset of Kuhn-Tucker points. We show that the easiest local optimality criteria (using local reduction by means of the implicit function theorem) are generic. Finally, we discuss the relationship between Kuhn-Tucker points and the topology of the feasible set.
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Jongen, H.T., Zwier, G. (1985). On Regular Semi-Infinite Optimization. In: Anderson, E.J., Philpott, A.B. (eds) Infinite Programming. Lecture Notes in Economics and Mathematical Systems, vol 259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46564-2_5
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DOI: https://doi.org/10.1007/978-3-642-46564-2_5
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