Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions
We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in me...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/634371 |
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| author | A. Roldán J. Martínez-Moreno C. Roldán E. Karapınar |
| author_facet | A. Roldán J. Martínez-Moreno C. Roldán E. Karapınar |
| author_sort | A. Roldán |
| collection | DOAJ |
| description | We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)). |
| format | Article |
| id | doaj-art-a4094ced3e25483d8c37094e26c1ffdc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a4094ced3e25483d8c37094e26c1ffdc2025-02-03T01:02:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/634371634371Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity ConditionsA. Roldán0J. Martínez-Moreno1C. Roldán2E. Karapınar3University of Jaén, Campus Las Lagunillas s/n, 23071 Jaén, SpainUniversity of Jaén, Campus Las Lagunillas s/n, 23071 Jaén, SpainUniversity of Jaén, Campus Las Lagunillas s/n, 23071 Jaén, SpainUniversity of Jaén, Campus Las Lagunillas s/n, 23071 Jaén, SpainWe study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).http://dx.doi.org/10.1155/2013/634371 |
| spellingShingle | A. Roldán J. Martínez-Moreno C. Roldán E. Karapınar Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions Abstract and Applied Analysis |
| title | Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions |
| title_full | Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions |
| title_fullStr | Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions |
| title_full_unstemmed | Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions |
| title_short | Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions |
| title_sort | multidimensional fixed point theorems in partially ordered complete partial metric spaces under contractivity conditions |
| url | http://dx.doi.org/10.1155/2013/634371 |
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