
Journal of Convex Analysis 30 (2023), No. 1, 005016 Copyright Heldermann Verlag 2023 Necessary Optimality Conditions for Convex ContinuousTime Optimization Problems Jelena Vicanovic Dept. of Mathematics, University of Belgrade, Serbia vicanovic.jelena@gmail.com Boban Marinkovic Dept. of Mathematics, University of Belgrade, Serbia We consider convex continuoustime optimization problems with inequality type of constraints. By using subdifferential approximation of the considered problem and new alternative theorem for convex inequalities in functional spaces, necessary optimality conditions are obtained. Moreover, the main result is refined when affine functions are separately considered from other convex nonaffine functions. Keywords: Continuoustime programming, convex programming, optimality conditions, theorems of the alternative. MSC: 90C30, 90C46. [ Fulltextpdf (104 KB)] for subscribers only. 