On the set of fixed points and periodic points of continuously differentiable functions
type: Item
instance of: scholarly article
title: On the set of fixed points and periodic points of continuously differentiable functions
zbMATH Open document ID: 1267.54038
DOI: 10.1155/2013/929475
author: Ali A. Alikhani-Koopaei
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2013-05-23T00:00:00Z
review text: Summary: In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. We investigate the sets of fixed points and periodic points of continuously differentiable functions and show that typically such functions have a finite set of fixed points and a countable set of periodic points.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C50
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 26A21
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 6165374
Wikidata QID: Q58989365
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/929475
OpenAlex ID: W2001192052
cites work: Dynamics of Typical Continuous Functions
cites work: On fixed points, periodic points, and chian recurrent points of continuous functions
cites work: On periodic and recurrent points of continuous functions
cites work: On common fixed points, periodic points, and recurrent points of continuous functions
cites work: A note on periodic points and commuting functions
cites work: On common fixed and periodic points of commuting functions
cites work: Common periodic points of commuting functions
DBLP publication ID: journals/ijmmsc/Alikhani-Koopaei13
description: scientific article; zbMATH DE number 6165374