Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces
We establish a fixed point theorem for Cirić contraction in the context of convex <i>b</i>-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex <i>b</i>-metric spaces and demonstra...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/466 |
| _version_ | 1797486278529253376 |
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| author | Savita Rathee Anshuka Kadyan Anil Kumar Kenan Tas |
| author_facet | Savita Rathee Anshuka Kadyan Anil Kumar Kenan Tas |
| author_sort | Savita Rathee |
| collection | DOAJ |
| description | We establish a fixed point theorem for Cirić contraction in the context of convex <i>b</i>-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex <i>b</i>-metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given. |
| first_indexed | 2024-03-09T23:30:59Z |
| format | Article |
| id | doaj.art-276ee653d02244a1b928452c19b1e158 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:30:59Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-276ee653d02244a1b928452c19b1e1582023-11-23T17:07:58ZengMDPI AGMathematics2227-73902022-01-0110346610.3390/math10030466Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric SpacesSavita Rathee0Anshuka Kadyan1Anil Kumar2Kenan Tas3Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, IndiaDepartment of Mathematics, Government College for Women Sampla, Rohtak 124501, Haryana, IndiaDepartment of Mathematics, Usak University, Bir Eylul Campus, Usak 64200, TurkeyWe establish a fixed point theorem for Cirić contraction in the context of convex <i>b</i>-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex <i>b</i>-metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given.https://www.mdpi.com/2227-7390/10/3/466<i>b</i>-metric spacesconvex metric spacesalmost contraction |
| spellingShingle | Savita Rathee Anshuka Kadyan Anil Kumar Kenan Tas Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces Mathematics <i>b</i>-metric spaces convex metric spaces almost contraction |
| title | Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces |
| title_full | Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces |
| title_fullStr | Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces |
| title_full_unstemmed | Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces |
| title_short | Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces |
| title_sort | fixed point results for ciric and almost contractions in convex i b i metric spaces |
| topic | <i>b</i>-metric spaces convex metric spaces almost contraction |
| url | https://www.mdpi.com/2227-7390/10/3/466 |
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