Constraint quali…cations in convex vector semi-in…nite optimization

Miguel Angel Goberna, Francisco Guerra-Vázquez, Maxim Ivanov Todorov · 2012

Linear vector semi-in…nite optimization deals with the simultaneous minimization of …nitely many linear scalar functions subject to in…nitely many linear constraints. This paper provides characterizations of the weakly e¢ cient, e¢ cient, properly e¢ cient and strongly e¢ cient points in terms of cones involving the data and Karursh-Kuhn-Tucker conditions.

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