| HAL: hal-00273238, version 3 |
| arXiv: 0812.3734 |
| Detailed view | Export this paper |
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| Available versions: | v1 (2008-04-15) | v2 (2008-12-19) | v3 (2009-06-17) |
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| Common fixed point theorems for occasionally weakly compatible maps. |
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Hakima Bouhadjera 1Christiane Godet-Thobie 1 |
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| (2008-04-15) |
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| In this paper, we establish a common fixed point theorem for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our result extends many results existing in the literature as those of Aliouche and Popa [15-20]. Also we establish another common fixed point theorem for four owc single and set-valued maps of Gregu% \v{s} type which generalizes the results of Djoudi and Nisse , Pathak , Cho, Kang and Madharia and we end our work by giving a third theorem which extends the results given by Elamrani \& Mehdaoui \and Mbarki. |
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| 1: | Laboratoire de mathématiques de Brest (LM) |
| CNRS : UMR6205 – Université de Bretagne Occidentale [UBO] – Institut Supérieur des Sciences et Technologies de Brest (ISSTB) | |
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| Subject | : | Mathematics/Functional Analysis |
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| Occasionally weakly compatible map – weakly compatible – compatible and compatible maps of type A – B – C and P – common fixed point theorem – strict contractive condition |
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| hal-00273238, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00273238 | |
| oai:hal.archives-ouvertes.fr:hal-00273238 | |
| From: Christiane Godet-Thobie | |
| Submitted on: Wednesday, 17 June 2009 13:44:01 | |
| Updated on: Wednesday, 17 June 2009 14:27:23 | |