ON A FAMILY OF SET-VALUED FUNCTIONS

被引：0
|
作者：
PLEWNIA, J [1 ]
机构：
[1] PEDAGOG UNIV,INST MATH,PL-30084 KRAKOW,POLAND
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 1995年 / 46卷 / 1-2期
关键词：
SET-VALUED FUNCTIONS; HAUSDORFF METRIC; ITERATION SEMIGROUPS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a linear continuous set-valued function defined on a closed convex cone C in a Banach space X. The aim of this paper is to show that for every x is an element of C and t greater than or equal to 0 a series B-t(x) = Sigma(i)(infinity)=(0)t(i)/i!G(i)(x) is convergent in the space of nonempty compact convex subsets of X with the Hausdorff metric. Moreover the inclusion(B-t o B-s)(x) subset of B-t+s(x) for x is an element of C and t, s greater than or equal to 0 holds true.
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页码：149 / 159
页数：11
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