Fixed point theorems in a new type of modular metric spaces
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Özet
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. © 2018, The Author(s).
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https://rdlopen.rawdatalibrary.net/r/ebyu/14169Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Turkoglu, Duran | |
| dc.contributor.author | Manav, Nesrin | |
| dc.date.accessioned | 2026-10-18T20:28:57.269005173Z | |
| dc.date.available | 2026-10-18T20:28:57.269005173Z | |
| dc.date.issued | 2018 | |
| dc.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. © 2018, The Author(s). | |
| dc.description.sponsorship | The authors would like to thank Professor M.A. Khamsi for his helpful and constructive comments that greatly contributed to improving the final version of this paper. This work was supported by the TUBITAK (The Scientific and Technological Research Council of Turkey). | |
| dc.identifier.doi | 10.1186/s13663-018-0650-3 | |
| dc.identifier.issn | 1687-1820 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-85057628840 | |
| dc.identifier.startpage | 25 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/ebyu/14169 | |
| dc.identifier.volume | 2018 | |
| dc.language.iso | en | |
| dc.publisher | Springer International Publishing | |
| dc.relation.ispartof | Fixed Point Theory and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Fatou property | |
| dc.subject | Fixed point | |
| dc.subject | Generalized metric spaces | |
| dc.subject | Modular metric spaces | |
| dc.subject | Quasi-contraction | |
| dc.title | Fixed point theorems in a new type of modular metric spaces | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.scopus | 17 | |
| rdl.oa.status | gold | |
| rdl.source.index | SCOPUS |