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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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000386 |
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| _version_ | 1832562819485138944 |
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| author | Aliasghar Alikhani-Koopaei |
| author_facet | Aliasghar Alikhani-Koopaei |
| author_sort | Aliasghar Alikhani-Koopaei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79cda1aadf114040ae30dd8e0c871c34 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-79cda1aadf114040ae30dd8e0c871c342025-02-03T01:21:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121226927610.1155/S0161171298000386On common fixed and periodic points of commuting functionsAliasghar Alikhani-Koopaei0Mathematics Department, University of Isfahan, Isfahan, IranIt 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.http://dx.doi.org/10.1155/S0161171298000386Fixed pointsperiodic pointscommuting functions minimal sets. |
| spellingShingle | Aliasghar Alikhani-Koopaei On common fixed and periodic points of commuting functions International Journal of Mathematics and Mathematical Sciences Fixed points periodic points commuting functions minimal sets. |
| title | On common fixed and periodic points of commuting functions |
| title_full | On common fixed and periodic points of commuting functions |
| title_fullStr | On common fixed and periodic points of commuting functions |
| title_full_unstemmed | On common fixed and periodic points of commuting functions |
| title_short | On common fixed and periodic points of commuting functions |
| title_sort | on common fixed and periodic points of commuting functions |
| topic | Fixed points periodic points commuting functions minimal sets. |
| url | http://dx.doi.org/10.1155/S0161171298000386 |
| work_keys_str_mv | AT aliasgharalikhanikoopaei oncommonfixedandperiodicpointsofcommutingfunctions |