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

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  • Aliasghar Alikhani-Koopaei

Abstract

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.

Suggested Citation

  • Aliasghar Alikhani-Koopaei, 2013. "On the Set of Fixed Points and Periodic Points of Continuously Differentiable Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-5, April.
    • Handle: RePEc:hin:jijmms:929475
    DOI: 10.1155/2013/929475
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    1. Aliasghar Alikhani-Koopaei, 1998. "On common fixed and periodic points of commuting functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-8, January.
    2. Aliasghar Alikhani-Koopaei, 2003. "On common fixed points, periodic points, and recurrent points of continuous functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-9, January.
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