Higher-order necessary optimality conditions for extremum problems in topological vector spaces
Leon Mikołajczyk, Marcin Studniarski · Topological Methods in Nonlinear Analysis · 2000
We present a higher-order extension of the well-known theorem of Ben-Tal and Zowe on second-order necessary optimality conditions in topological vector spaces. We also examine the connection between this extension and the results of Furukawa and Yoshinaga which are stated in terms of higher-order variational sets and Neustadt derivatives.