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

作     者：Reich, Simeon Zaslavski, Alexander J. 

作者机构：Technion Israel Inst Technol Dept Math IL-32000 Haifa Israel 

出 版 物：《JOURNAL OF FIXED POINT THEORY AND APPLICATIONS》 (J. Fixed Point Theory Appl.)

年 卷 期：2023年第25卷第2期

页      面：1-7页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Israel Science Foundation [820/17] Fund for the Promotion of Research at the Technion Technion General Research Fund 

主　　题：Continuous function fixed point generic property increasing function 

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.