The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, ...The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.展开更多
基金This research is supportedby the National Natural Science Foundation of China(69972036), the Natural Science Foundation of Shaan
文摘The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.
