摘要
首先在无紧性的条件下，给出了局部凸空间中凸锥分离定理：闭凸锥和具有基底的凸锥相交只有零元素，则可以用一个严格正泛函（基泛函）分离．并以此定理得到有效性等价的条件，推广了文献［１］的结果．此外，还就第一作者的严有效性概念建立了等价性条件．
Without any compactness for base, we establish a separation theorem for convex cones in a locally convex space: Let P and K be two convex cones in cocally convex space X, P be closed and K have a base B . If P∩K={0} , then there exists f∈B st C # , such that f∈-P *. And by this separation theorem , equivalent conditions for proper efficiencies are obtained.
出处
《南昌水专学报》
CAS
1998年第2期1-8,共8页
Journal of Nanchang College of Water Conservancy and Hydroelectric Power
基金
国家自然科学基金
关键词
锥分离定理
锥的基底
真有效性
separation theorem for cones
\ base for cone
\ proper efficienlly
