On common fixed and periodic points of commuting functions
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 continuou...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000386 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |