平均类型映射和不变性原则

IF 0.9 4区数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2020-05-21 DOI:10.7153/mia-2021-24-15

J. Matkowski, P. Pasteczka

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引用次数: 5

摘要

在有限维情况下，考虑了均值型映射及其不变均值、不变均值的唯一性与映射轨道的收敛性之间的关系。特别地，证明了不变性均值的唯一性意味着所有轨道的收敛性。构造了一个强不规则均值型映射，并确定了其唯一不变均值。给出了一个在求解泛函方程中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mean-type mappings and invariance principle

In the finite dimensional case, mean-type mappings, their invariant means, relations between the uniqueness of invariant means and convergence of orbits of the mapping, are considered. In particular it is shown, that the uniqueness of an invariance mean implies the convergence of all orbits. A strongly irregular mean-type mapping is constructed and its unique invariant mean is determined. An application in solving a functional equation is presented.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.