摘要
有界闭集上的函数Ｋ＜１集压缩映象是紧压缩映象，且是闭映象．有界闭凸集到自身的函数Ｋ＜１集压缩映象一定有不动点．
In this paper, the followed conclusion is given: The deflation image of K set function ( K<1 ) in the bounded closed set is the compact deflation image, and also the closed image. The deflation image of K set function ( K<1 ) of the mapping in itself of the bounded closed convex set, must have the invariable points.
出处
《工科数学》
1997年第3期46-48,共3页
Journal of Mathematics For Technology
关键词
压缩映象
有界
有限区间
闭集
闭凸集
不动点
函数
性质
compact deflation image, bounded closed convex set, closed image, banach space.
