On common fixed and periodic points of commuting functions

Aliasghar Alikhani-Koopaei

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-8

Abstract:

It is known that two commuting continuous functions on an interval need not have a common fixed point. It is not known if such two functions have a common periodic point. In this paper we first give some results in this direction. We then define a new contractive condition, under which two continuous functions must have a unique common fixed point.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:457939

DOI: 10.1155/S0161171298000386

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