关键词: 集值优化, 二阶切导数, 强有效元

Abstract:

The strong efficiency of setvalued optimization in real normed spaces was solved by applying the secondorder contingent derivatives, the  properties of basic functional and strong efficient element. The secondorder necessary optimality condition of unconstrained setvalued optimization was given for the objective function being nearly conesubconvexlike, and sufficient condition was presented under coneconvexity hypothesis.

Key words: setvalued optimization, secondorder contingent derivative, strong efficient element