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It is known that two commuting continuous functions on an interval need not have a common fixed point. However, it is not known if such two functions have a common periodic point. We had conjectured that two commuting continuous functions on an interval will typically have disjoint sets of periodic points. In this paper, we first prove that S is a nowhere… (More)

- Aliasghar Alikhani-Koopaei
- Int. J. Math. Mathematical Sciences
- 2013

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