1) ic-cone-convexlikeness
内部锥次类凸
1.
Given a property of the ic-cone-conevexlikeness,under the assumption of the ic-cone-convexlikeness and condition(CQ),by applying alternative theorem,Kuhn-Tucker type,Lagrange type and Saddle points type optimality conditions of vector set-valued optimization problem(SOP) are derived respectively.
给出了内部锥次类凸的一个性质,在内部锥次类凸和条件(CQ)成立的假设下,利用择一性定理分别得到了向量集值优化问题严有效解的Kuhn-Tucker型,Lagrange型和鞍点最优性充分必要条件。
2.
Given a property of the ic-cone-conevexlikeness, under the assumption of theic-cone-convexlikeness and condition (CQ), by applying alternative theorem,Kuhn-Tucker type, Lagrange type and Saddle points type optimality conditionsof vector set-valued optimization problem (SOP) are derived respectively.
给出了内部锥次类凸的一个性质，在内部锥次类凸和条件(CO)成立的假设下，利用择一性定理分别得到了向量集值优化问题严有效解的Kuhn-Tucker型，Lagrange型和鞍点最优性充分必要条件。
2) ic-cone-convexlikeness
内部锥类凸
1.
Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,Kuhn-Tucker and Lagrange necessary conditions are derived respectively.
在内部锥类凸假设下,利用凸集分离定理,分别得到了Kuhn-Tucker和Lagrange必要条件。
2.
Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,Kuhn-Tucker necessary conditions is derived.
在内部锥类凸假设下,利用凸集分离定理,得到了Kuhn-Tucker必要条件。
3) cone-subconvexlikeness
锥次类凸性
4) partial ic-cone-convex
部分生成锥内部凸-锥-凸
5) Nearly cone-subconvexlike
近似锥-次类凸
1.
Moreover,under the assumption of nearly cone-subconvexlikeness,the necessary and su?cient conditions for a strictly efficient solution being a generalized saddle point in set-valued optimization problems with maps are obtained.
利用广义鞍点的性质和凸集分离定理,得到了广义鞍点的一个集分离性质,并且在近似锥-次类凸假设下建立了集值优化问题严有效解为广义鞍点的充分条件和必要条件。
2.
Results The property of generalized saddle point with cone separation was prved and the conditions of super efficient solutions being the generalized saddle point in the nearly cone-subconvexlike vector optim.
结果得到广义鞍点的一个锥分离性质,并且建立了近似锥-次类凸集值向量优化问题超有效解为广义鞍点的条件。
补充资料：凸锥
凸锥
convex cone
凸锥【阴vex仪扣e;阳叮‘l成.陇叮cl 从一点(凸锥的顶点)出发的射线构成的凸体(con-vex body)V.这个定义把V等同于全空间的情况排除在外.凸锥的概念包括二面角和半空间等概念作为其特殊情况.凸锥有时指的是这个锥体的表面.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条