Fixed point theorems in a new type of modular metric spaces
Abstract In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Fixed Point Theory and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13663-018-0650-3 |
| _version_ | 1818718423653285888 |
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| author | Duran Turkoglu Nesrin Manav |
| author_facet | Duran Turkoglu Nesrin Manav |
| author_sort | Duran Turkoglu |
| collection | DOAJ |
| description | Abstract In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces. |
| first_indexed | 2024-12-17T19:50:49Z |
| format | Article |
| id | doaj.art-1aee620bb16f4fb6a0e25537b1a90777 |
| institution | Directory Open Access Journal |
| issn | 1687-1812 |
| language | English |
| last_indexed | 2024-12-17T19:50:49Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-1aee620bb16f4fb6a0e25537b1a907772022-12-21T21:34:43ZengSpringerOpenFixed Point Theory and Applications1687-18122018-12-012018111010.1186/s13663-018-0650-3Fixed point theorems in a new type of modular metric spacesDuran Turkoglu0Nesrin Manav1Department of Mathematics, Gazi UniversityDepartment of Mathematics, Faculty of Science & Arts, Erzincan UniversityAbstract In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces.http://link.springer.com/article/10.1186/s13663-018-0650-3Fixed pointFatou propertyModular metric spacesGeneralized metric spacesQuasi-contraction |
| spellingShingle | Duran Turkoglu Nesrin Manav Fixed point theorems in a new type of modular metric spaces Fixed Point Theory and Applications Fixed point Fatou property Modular metric spaces Generalized metric spaces Quasi-contraction |
| title | Fixed point theorems in a new type of modular metric spaces |
| title_full | Fixed point theorems in a new type of modular metric spaces |
| title_fullStr | Fixed point theorems in a new type of modular metric spaces |
| title_full_unstemmed | Fixed point theorems in a new type of modular metric spaces |
| title_short | Fixed point theorems in a new type of modular metric spaces |
| title_sort | fixed point theorems in a new type of modular metric spaces |
| topic | Fixed point Fatou property Modular metric spaces Generalized metric spaces Quasi-contraction |
| url | http://link.springer.com/article/10.1186/s13663-018-0650-3 |
| work_keys_str_mv | AT duranturkoglu fixedpointtheoremsinanewtypeofmodularmetricspaces AT nesrinmanav fixedpointtheoremsinanewtypeofmodularmetricspaces |