Optimum Problems with Certain Lower Semicontinuous Set-Valued Constraints
Zsolt Páles, Vera M. Zeidan · SIAM Journal on Optimization · 1998
In this paper, we provide a complete analysis of second-order admissible variations to inequality type constraints that are given in terms of lower semicontinuous set-valued functions whose images are closed convex sets with nonempty interior. As an application, we consider optimization problems where such constraints are present and we deduce second-order necessary conditions for optimality.