| HAL: hal-00356516, version 1 |
| arXiv: 0906.3159 |
| Detailed view | Export this paper |
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| Available versions: | v1 (2009-06-17) | v2 (2011-05-23) |
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| Common fixed point theorems for pairs of subcompatible maps. |
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Hakima Bouhadjera 1Christiane Godet-Thobie 1 |
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| (2008-11-12) |
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| In this paper, we introduce the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibilty and reciprocal continuity. With them, we establish several common fixed point theorems which extend corresponding results of Jungck and Rhoades (2006), Djoudi and Nisse (2003) and Mbarki (2002). |
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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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| Common fixed point – coincidence point – compatible and weakly compatible maps – occasionally compatible maps – subcompatible maps – subsequentially continuous maps. |
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| Attached file list to this document: | ||||||||||
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| hal-00356516, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00356516 | |
| oai:hal.archives-ouvertes.fr:hal-00356516 | |
| From: Christiane Godet-Thobie | |
| Submitted on: Friday, 6 February 2009 09:23:46 | |
| Updated on: Wednesday, 17 June 2009 14:32:49 | |