Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces
In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/9127486 |
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| _version_ | 1832552760084529152 |
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| author | Nabil Mlaiki Ufuk Çelik Nihal Taş Nihal Yilmaz Özgür Aiman Mukheimer |
| author_facet | Nabil Mlaiki Ufuk Çelik Nihal Taş Nihal Yilmaz Özgür Aiman Mukheimer |
| author_sort | Nabil Mlaiki |
| collection | DOAJ |
| description | In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center x0 and the radius r. |
| format | Article |
| id | doaj-art-28fbbb7a6535478280b2c24ed4e86e08 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-28fbbb7a6535478280b2c24ed4e86e082025-02-03T05:57:48ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/91274869127486Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric SpacesNabil Mlaiki0Ufuk Çelik1Nihal Taş2Nihal Yilmaz Özgür3Aiman Mukheimer4Department of Mathematics and General Sciences, Prince Sultan University Riyadh 11586, Saudi ArabiaBalikesir University, Department of Mathematics, 10145 Balikesir, TurkeyBalikesir University, Department of Mathematics, 10145 Balikesir, TurkeyBalikesir University, Department of Mathematics, 10145 Balikesir, TurkeyDepartment of Mathematics and General Sciences, Prince Sultan University Riyadh 11586, Saudi ArabiaIn this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center x0 and the radius r.http://dx.doi.org/10.1155/2018/9127486 |
| spellingShingle | Nabil Mlaiki Ufuk Çelik Nihal Taş Nihal Yilmaz Özgür Aiman Mukheimer Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces Journal of Mathematics |
| title | Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces |
| title_full | Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces |
| title_fullStr | Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces |
| title_full_unstemmed | Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces |
| title_short | Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces |
| title_sort | wardowski type contractions and the fixed circle problem on s metric spaces |
| url | http://dx.doi.org/10.1155/2018/9127486 |
| work_keys_str_mv | AT nabilmlaiki wardowskitypecontractionsandthefixedcircleproblemonsmetricspaces AT ufukcelik wardowskitypecontractionsandthefixedcircleproblemonsmetricspaces AT nihaltas wardowskitypecontractionsandthefixedcircleproblemonsmetricspaces AT nihalyilmazozgur wardowskitypecontractionsandthefixedcircleproblemonsmetricspaces AT aimanmukheimer wardowskitypecontractionsandthefixedcircleproblemonsmetricspaces |