共 2 条
- [1] Reich S(2023)Most continuous and increasing functions have two different fixed points Carpathian J. Math. 39 231-236
- [2] Zaslavski AJ(undefined)undefined undefined undefined undefined-undefined
Most continuous and increasing functions on a compact real interval have infinitely many different fixed points
被引：0
作者：
Simeon Reich
Alexander J. Zaslavski
机构：
[1] The Technion-Israel Institute of Technology,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications
|
2023年
/
25卷
关键词：
Continuous function;
fixed point;
generic property;
increasing function;
26A15;
26A48;
47H10;
54E35;
54E52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the space of all continuous and increasing self-mappings of a real interval [a, b], where a<b\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$a<b$$\end{document} 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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