On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions | Zendy

Aliasghar Alikhani-Koopaei | Zendy

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On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions

Author(s) -

Aliasghar Alikhani-Koopaei

Publication year - 2013

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2013/929475

Subject(s) - mathematics , fixed point , countable set , differentiable function , set (abstract data type) , periodic point , interval (graph theory) , discrete mathematics , pure mathematics , mathematical analysis , combinatorics , computer science , programming language

In recent years, researchers have studied the size of different sets related to the dynamics of self-maps of an interval. In this note 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

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