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).

引用

页码：139 / 143

页数：4

共 50 条

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