On coincidence points of generalized contractive pair mappings in convex metric spaces
We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2015-12-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2604_a09c6f8fa44bcbbb6985e10077bfaff0.pdf |
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| _version_ | 1849427740203155456 |
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| author | Moohammad Moosaei Azizollah Azizi |
| author_facet | Moohammad Moosaei Azizollah Azizi |
| author_sort | Moohammad Moosaei |
| collection | DOAJ |
| description | We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point. |
| format | Article |
| id | doaj-art-748f1e86b6be41e08739773be7f73be6 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-748f1e86b6be41e08739773be7f73be62025-08-20T03:28:55ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662015-12-014213614110.22098/jhs.2015.26042604On coincidence points of generalized contractive pair mappings in convex metric spacesMoohammad Moosaei0Azizollah Azizi1Department of Mathematics, Faculty of Science, Bu-Ali Sina University, P.O.Box 6517838695, Hamedan, IranDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, P.O.Box 34149-16818, Qazvin, IranWe obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.https://jhs.uma.ac.ir/article_2604_a09c6f8fa44bcbbb6985e10077bfaff0.pdfbanach operator paircoincidence pointcommon fixed pointconvex metric spacefixed pointweakly compatible pair |
| spellingShingle | Moohammad Moosaei Azizollah Azizi On coincidence points of generalized contractive pair mappings in convex metric spaces Journal of Hyperstructures banach operator pair coincidence point common fixed point convex metric space fixed point weakly compatible pair |
| title | On coincidence points of generalized contractive pair mappings in convex metric spaces |
| title_full | On coincidence points of generalized contractive pair mappings in convex metric spaces |
| title_fullStr | On coincidence points of generalized contractive pair mappings in convex metric spaces |
| title_full_unstemmed | On coincidence points of generalized contractive pair mappings in convex metric spaces |
| title_short | On coincidence points of generalized contractive pair mappings in convex metric spaces |
| title_sort | on coincidence points of generalized contractive pair mappings in convex metric spaces |
| topic | banach operator pair coincidence point common fixed point convex metric space fixed point weakly compatible pair |
| url | https://jhs.uma.ac.ir/article_2604_a09c6f8fa44bcbbb6985e10077bfaff0.pdf |
| work_keys_str_mv | AT moohammadmoosaei oncoincidencepointsofgeneralizedcontractivepairmappingsinconvexmetricspaces AT azizollahazizi oncoincidencepointsofgeneralizedcontractivepairmappingsinconvexmetricspaces |