Optimality conditions of second-order radial epiderivatives

Abstract

In this paper, we introduce the concepts of second-order radial epiderivative and second-order generalized radial epiderivative for nonconvex set-valued maps. We give existence theorems for the second-order generalized radial epiderivatives. We also establish the second-order optimality conditions by using second-order radial epiderivatives.

https://doi.org/10.28919/jmcs/3440