Most continuous and increasing functions on a compact real interval have infinitely many different fixed points

被引：1
|
作者：
Reich, Simeon [1 ]
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 02期
基金：
以色列科学基金会;
关键词：
Continuous function; fixed point; generic property; increasing function;
D O I：
10.1007/s11784-023-01058-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the space of all continuous and increasing self mappings of a real interval [a, b], where a < b are real numbers, equipped with the topology of uniform convergence. We show, in particular, that most such functions have infinitely many different fixed points.
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