Abstract:

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.

Key words: secondorder asymptotic tangent cone, secondorder asymptotic epiderivative, locally strictly efficient element