Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces
We introduce the notions of (α-ϕ-ψ)-weaker Meir-Keeler contractive mappings and (α-φ)-stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literatur...
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Hindawi Limited
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/353765 |
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doaj-98566ea2814d4a9cae36413c50de88262020-11-24T20:59:50ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/353765353765Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric SpacesChi-Ming Chen0Erdal Karapınar1Vladimir Rakočević2Department of Applied Mathematics, National Hsinchu University of Education, TaiwanAtılım University Department of Mathematics, Incek, 06586 Ankara, TurkeyFaculty of Sciences and Mathematics, University of Nis, Visegradska 33, 18000 Nis, SerbiaWe introduce the notions of (α-ϕ-ψ)-weaker Meir-Keeler contractive mappings and (α-φ)-stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.http://dx.doi.org/10.1155/2014/353765 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chi-Ming Chen Erdal Karapınar Vladimir Rakočević |
| spellingShingle |
Chi-Ming Chen Erdal Karapınar Vladimir Rakočević Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces Journal of Applied Mathematics |
| author_facet |
Chi-Ming Chen Erdal Karapınar Vladimir Rakočević |
| author_sort |
Chi-Ming Chen |
| title |
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces |
| title_short |
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces |
| title_full |
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces |
| title_fullStr |
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces |
| title_full_unstemmed |
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces |
| title_sort |
existence of periodic fixed point theorems in the setting of generalized quasi-metric spaces |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2014-01-01 |
| description |
We introduce the notions of (α-ϕ-ψ)-weaker Meir-Keeler contractive mappings and (α-φ)-stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature. |
| url |
http://dx.doi.org/10.1155/2014/353765 |
| work_keys_str_mv |
AT chimingchen existenceofperiodicfixedpointtheoremsinthesettingofgeneralizedquasimetricspaces AT erdalkarapınar existenceofperiodicfixedpointtheoremsinthesettingofgeneralizedquasimetricspaces AT vladimirrakocevic existenceofperiodicfixedpointtheoremsinthesettingofgeneralizedquasimetricspaces |
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1716781242080296960 |