Second-Order Asymptotic Epiderivative and Application
Zhang Aihon · Journal of Jilin University(Science Edition) · 2014
The strict efficiency of set-valued optimization was considered in real normed linear space by a new second-order asymptotic epiderivative.With the help of second-order asymptotic tangent cone,a new second-order asymptotic epiderivative was introduced.At the same time,an example was given to show that its existence condition is weaker than that of second-order asymptotic tangent derivative.By applying the derivative and properties of a dilating cone,an optimality necessary condition of locally strictly efficient element for set-valued optimization was established.