Optimality conditions via generalized radial epiderivatives in nonconvex set-valued optimization

Abstract

In this paper, the generalized radial epiderivative for set-valued maps is introduced and its relationship to the radial epiderivative is investigated. Existence conditions for generalized radial epiderivatives are established and unified necessary and sufficient optimality condition in nonconvex setvalued optimization is derived in terms of the generalized radial epiderivative