Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces
By using the weaker Meir-Keeler function ϕ and the triangular α-admissible mapping α, we introduce the notion of (α-ϕ)-weaker Meir-Keeler contractive mappings and prove a theorem which assures the existence of a periodic point for these mappings on generalized quasimetric spaces.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/490450 |
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| _version_ | 1850160600359895040 |
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| author | Ing-Jer Lin Chi-Ming Chen Erdal Karapınar |
| author_facet | Ing-Jer Lin Chi-Ming Chen Erdal Karapınar |
| author_sort | Ing-Jer Lin |
| collection | DOAJ |
| description | By using the weaker Meir-Keeler function ϕ and the triangular α-admissible mapping α, we introduce the notion of (α-ϕ)-weaker Meir-Keeler contractive mappings and prove a theorem which assures the existence of a periodic point for these mappings on generalized quasimetric spaces. |
| format | Article |
| id | doaj-art-a994ffb47b50414bb4879d60592fc464 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a994ffb47b50414bb4879d60592fc4642025-08-20T02:23:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/490450490450Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric SpacesIng-Jer Lin0Chi-Ming Chen1Erdal Karapınar2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, TaiwanDepartment of Applied Mathematics, National Hsinchu University of Education, TaiwanDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyBy using the weaker Meir-Keeler function ϕ and the triangular α-admissible mapping α, we introduce the notion of (α-ϕ)-weaker Meir-Keeler contractive mappings and prove a theorem which assures the existence of a periodic point for these mappings on generalized quasimetric spaces.http://dx.doi.org/10.1155/2014/490450 |
| spellingShingle | Ing-Jer Lin Chi-Ming Chen Erdal Karapınar Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces Abstract and Applied Analysis |
| title | Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces |
| title_full | Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces |
| title_fullStr | Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces |
| title_full_unstemmed | Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces |
| title_short | Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces |
| title_sort | periodic points of weaker meir keeler contractive mappings on generalized quasimetric spaces |
| url | http://dx.doi.org/10.1155/2014/490450 |
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