A Common Fixed Point Theorem in Metric Space under General Contractive Condition
We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improveme...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/510691 |
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| _version_ | 1832566925102678016 |
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| author | Sunny Chauhan Zoran Kadelburg Sumitra Dalal |
| author_facet | Sunny Chauhan Zoran Kadelburg Sumitra Dalal |
| author_sort | Sunny Chauhan |
| collection | DOAJ |
| description | We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007). |
| format | Article |
| id | doaj-art-e12229fa880b4d80aeead1061397b5df |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e12229fa880b4d80aeead1061397b5df2025-02-03T01:02:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/510691510691A Common Fixed Point Theorem in Metric Space under General Contractive ConditionSunny Chauhan0Zoran Kadelburg1Sumitra Dalal2R.H. Government Postgraduate College, Udham Singh Nagar, Kashipur, Uttarakhand 244713, IndiaFaculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, SerbiaDepartment of Mathematics, Jazan University, Saudi ArabiaWe prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).http://dx.doi.org/10.1155/2013/510691 |
| spellingShingle | Sunny Chauhan Zoran Kadelburg Sumitra Dalal A Common Fixed Point Theorem in Metric Space under General Contractive Condition Journal of Applied Mathematics |
| title | A Common Fixed Point Theorem in Metric Space under General Contractive Condition |
| title_full | A Common Fixed Point Theorem in Metric Space under General Contractive Condition |
| title_fullStr | A Common Fixed Point Theorem in Metric Space under General Contractive Condition |
| title_full_unstemmed | A Common Fixed Point Theorem in Metric Space under General Contractive Condition |
| title_short | A Common Fixed Point Theorem in Metric Space under General Contractive Condition |
| title_sort | common fixed point theorem in metric space under general contractive condition |
| url | http://dx.doi.org/10.1155/2013/510691 |
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