Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space
Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of c...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/785357 |
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| author | K. Chakrabarti |
| author_facet | K. Chakrabarti |
| author_sort | K. Chakrabarti |
| collection | DOAJ |
| description | Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of coupled coincidence points of two maps. |
| format | Article |
| id | doaj-art-ecd8dc3e486a4546a3575eaa1b995801 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ecd8dc3e486a4546a3575eaa1b9958012025-02-03T01:25:51ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/785357785357Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric SpaceK. Chakrabarti0Department of Mathematics, Scottish Church College, 1 & 3 Urquhart Square, Kolkata 700 006, IndiaCoupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of coupled coincidence points of two maps.http://dx.doi.org/10.1155/2014/785357 |
| spellingShingle | K. Chakrabarti Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space Journal of Mathematics |
| title | Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space |
| title_full | Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space |
| title_fullStr | Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space |
| title_full_unstemmed | Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space |
| title_short | Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space |
| title_sort | coupled fixed point theorems with rational type contractive condition in a partially ordered g metric space |
| url | http://dx.doi.org/10.1155/2014/785357 |
| work_keys_str_mv | AT kchakrabarti coupledfixedpointtheoremswithrationaltypecontractiveconditioninapartiallyorderedgmetricspace |