Compatible mappings and common fixed points
A generalization of the commuting mapping concept is introduced. Properties of this weakened commutativity are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000935 |
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| _version_ | 1832563569177133056 |
|---|---|
| author | Gerald Jungck |
| author_facet | Gerald Jungck |
| author_sort | Gerald Jungck |
| collection | DOAJ |
| description | A generalization of the commuting mapping concept is introduced. Properties of this weakened commutativity are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others. |
| format | Article |
| id | doaj-art-806cf140e6a4404982104f68599c4963 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-806cf140e6a4404982104f68599c49632025-02-03T01:13:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019477177910.1155/S0161171286000935Compatible mappings and common fixed pointsGerald Jungck0Department of Mathematics, Bradley University, Peoria 61625, Illinois, USAA generalization of the commuting mapping concept is introduced. Properties of this weakened commutativity are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.http://dx.doi.org/10.1155/S0161171286000935common fixed pointscommuting mappingscompatible mappingsand (ε,δ)-contractions. |
| spellingShingle | Gerald Jungck Compatible mappings and common fixed points International Journal of Mathematics and Mathematical Sciences common fixed points commuting mappings compatible mappings and (ε,δ)-contractions. |
| title | Compatible mappings and common fixed points |
| title_full | Compatible mappings and common fixed points |
| title_fullStr | Compatible mappings and common fixed points |
| title_full_unstemmed | Compatible mappings and common fixed points |
| title_short | Compatible mappings and common fixed points |
| title_sort | compatible mappings and common fixed points |
| topic | common fixed points commuting mappings compatible mappings and (ε,δ)-contractions. |
| url | http://dx.doi.org/10.1155/S0161171286000935 |
| work_keys_str_mv | AT geraldjungck compatiblemappingsandcommonfixedpoints |