In memoriam Professor Charles E. Chidume (1947-2021) Most continuous and increasing functions have two different fixed points

被引：1

作者：

Reich, Simeon ^{[1
]}

Zaslavski, Lexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2023年 / 39卷 / 01期

基金：

以色列科学基金会;

关键词：

Continuous function; fixed point; generic property; increasing function; APPROXIMATION;

D O I：

10.37193/CJM.2023.01.15

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 the real interval [0,1] equipped with the topology of uniform convergence. In particular, we show that most such functions have at least two different fixed points.

引用

页码：231 / 236

页数：6

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