Roundings in partially ordered topological spaces

被引：0
|
作者：
A. L. Kryukova
机构：
[1] Vologda State Pedagogical University,
来源：
Functional Analysis and Its Applications | 2012年 / 46卷
关键词：
Rounding; partially ordered topological space; extreme point; Hyers-Ulam stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain criteria for equivalence, covariance, commutativity, and idempotent additivity of roundings in ordered topological spaces. For some special classes of spaces, we obtain the characterization of roundings as extreme points of the set of nonenlarging isotone mappings and prove their Hyers-Ulam stability. A functional model of interval rounding is constructed.
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页码：69 / 72
页数：3
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