Periodic Trajectories and Coincidence Points of Tuples of Set-Valued Maps

被引：0
|
作者：
B. D. Gel’man
机构：
[1] Voronezh State University,
[2] RUDN University,undefined
来源：
Functional Analysis and Its Applications | 2018年 / 52卷
关键词：
set-valued map; Hausdorff metric; Lipschitz set-valued map; fixed point; surjective operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A fixed-point theorem is proved for a finite composition of set-valued Lipschitz maps such that the product of their Lipschitz constants is less than 1. The notion of a Lipschitz tuple of (finitely many) set-valued maps is introduced; it is proved that such a tuple has a periodic trajectory, which determines a fixed point of the given composition of set-valued Lipschitz maps. This result is applied to study the coincidence points of a pair of tuples (Lipschitz and covering).
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页码：139 / 143
页数：4
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