SEMIGROUPS OF MIDPOINT CONVEX SET-VALUED FUNCTIONS

被引:0
|
作者
SMAJDOR, A [1 ]
机构
[1] PEDAGOG UNIV,PL-30084 KRAKOW,POLAND
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 1995年 / 46卷 / 1-2期
关键词
MIDPOINT CONVEX SET-VALUED FUNCTIONS; ITERATION SEMIGROUPS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A set-valued function F from a convex subset D of a real vector space X into the set n(Y) of all non-empty subsets of a real vector space Y is said to be midpoint convex iff 1/2[F(x)+F(x)]subset of F[1/2(x+y)] for all x, y is an element of D. This note deals with iteration semigroups of midpoint convex set-valued functions on a whole linear space.
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页码:161 / 170
页数:10
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