On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces
In this paper, we introduce a notion of convex <i>F</i>-contraction and establish some fixed point results for such contractions in <i>b</i>-metric spaces. Moreover, we give a supportive example to show that our convex <i>F</i>-contraction is quite different from...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/2/71 |
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| author | Huaping Huang Zoran D. Mitrović Kastriot Zoto Stojan Radenović |
| author_facet | Huaping Huang Zoran D. Mitrović Kastriot Zoto Stojan Radenović |
| author_sort | Huaping Huang |
| collection | DOAJ |
| description | In this paper, we introduce a notion of convex <i>F</i>-contraction and establish some fixed point results for such contractions in <i>b</i>-metric spaces. Moreover, we give a supportive example to show that our convex <i>F</i>-contraction is quite different from the <i>F</i>-contraction used in the existing literature since our convex <i>F</i>-contraction does not necessarily contain the continuous mapping but the <i>F</i>-contraction contains such mapping. In addition, via some facts, we claim that our results indeed generalize and improve some previous results in the literature. |
| first_indexed | 2024-03-10T12:11:10Z |
| format | Article |
| id | doaj.art-0c0fd3187a5e4ce3a2aaf70e6dab0852 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T12:11:10Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-0c0fd3187a5e4ce3a2aaf70e6dab08522023-11-21T16:12:08ZengMDPI AGAxioms2075-16802021-04-011027110.3390/axioms10020071On Convex <i>F</i>-Contraction in <i>b</i>-Metric SpacesHuaping Huang0Zoran D. Mitrović1Kastriot Zoto2Stojan Radenović3School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, ChinaFaculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaDepartment of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, 6001 Gjirokastra, AlbaniaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaIn this paper, we introduce a notion of convex <i>F</i>-contraction and establish some fixed point results for such contractions in <i>b</i>-metric spaces. Moreover, we give a supportive example to show that our convex <i>F</i>-contraction is quite different from the <i>F</i>-contraction used in the existing literature since our convex <i>F</i>-contraction does not necessarily contain the continuous mapping but the <i>F</i>-contraction contains such mapping. In addition, via some facts, we claim that our results indeed generalize and improve some previous results in the literature.https://www.mdpi.com/2075-1680/10/2/71<i>F</i>-contractionconvex <i>F</i>-contractionfixed point<i>b</i>-metric space |
| spellingShingle | Huaping Huang Zoran D. Mitrović Kastriot Zoto Stojan Radenović On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces Axioms <i>F</i>-contraction convex <i>F</i>-contraction fixed point <i>b</i>-metric space |
| title | On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces |
| title_full | On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces |
| title_fullStr | On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces |
| title_full_unstemmed | On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces |
| title_short | On Convex <i>F</i>-Contraction in <i>b</i>-Metric Spaces |
| title_sort | on convex i f i contraction in i b i metric spaces |
| topic | <i>F</i>-contraction convex <i>F</i>-contraction fixed point <i>b</i>-metric space |
| url | https://www.mdpi.com/2075-1680/10/2/71 |
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