运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2012年
2期
1-8
,共8页
凸函数%次b凸集合%次b凸函数%伪次b凸函数%最优性条件
凸函數%次b凸集閤%次b凸函數%偽次b凸函數%最優性條件
철함수%차b철집합%차b철함수%위차b철함수%최우성조건
convex function%sub-b-convex set%sub-b-convex function%pseudo-sub-b-convex function%optimality conditions
研究一种称为次b凸函数的广义凸函数,并介绍了次b凸集的概念.分别在一般情形及可微情形下讨论了次b凸函数的相关性质,得到了次b凸函数成为拟凸函数及伪凸函数的充分条件.最后,在次b凸函数的条件下给出了无约束及带不等式约束规划的最优性条件.
研究一種稱為次b凸函數的廣義凸函數,併介紹瞭次b凸集的概唸.分彆在一般情形及可微情形下討論瞭次b凸函數的相關性質,得到瞭次b凸函數成為擬凸函數及偽凸函數的充分條件.最後,在次b凸函數的條件下給齣瞭無約束及帶不等式約束規劃的最優性條件.
연구일충칭위차b철함수적엄의철함수,병개소료차b철집적개념.분별재일반정형급가미정형하토론료차b철함수적상관성질,득도료차b철함수성위의철함수급위철함수적충분조건.최후,재차b철함수적조건하급출료무약속급대불등식약속규화적최우성조건.
The paper studied a new generalized convex function which called sub-bconvex function,and introduced a new concept of sub-b-convex set.The basic properties of sub-b-convex functions were discussed in general case and differentiable case,respectively.And,obtained the sufficient conditions that the sub-b-convex function become quasi-convex function or pseudo-convex function.Furthermore,the sufficient conditions of optimality for unconstrained and inequality constrained programming were obtained under the sub-b-convexity.
