大多数连续函数和递增函数都有两个不同的不动点

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI:10.37193/cjm.2023.01.15

S. Reich, A. Zaslavski

引用次数: 1

摘要

“我们研究了具有一致收敛拓扑的实区间$[0,1]$的所有连续和递增自映射的空间。特别地，我们证明了大多数这样的函数至少有两个不同的不动点。”

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Most continuous and increasing functions have two different fixed points

"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."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.