Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces
In this paper, we present new findings on <i>F</i>-contraction in bipolar <i>p</i>-metric spaces. We establish a covariant Banach-type fixed-point theorem and a contravariant Reich-type fixed-point theorem based on <i>F</i>-contraction in these spaces. Additionall...
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2024-11-01
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| author | Nabanita Konwar Pradip Debnath |
| author_facet | Nabanita Konwar Pradip Debnath |
| author_sort | Nabanita Konwar |
| collection | DOAJ |
| description | In this paper, we present new findings on <i>F</i>-contraction in bipolar <i>p</i>-metric spaces. We establish a covariant Banach-type fixed-point theorem and a contravariant Reich-type fixed-point theorem based on <i>F</i>-contraction in these spaces. Additionally, we include an example that demonstrates the applicability of our results. Our results non-trivially extend this covariant Banach-type fixed-point theorem and contravariant Reich type theorem via the concept of <i>F</i>-contraction. |
| format | Article |
| id | doaj-art-20b85dcaf9a94e6da77cc3cb2d76353c |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-20b85dcaf9a94e6da77cc3cb2d76353c2025-08-20T02:26:59ZengMDPI AGAxioms2075-16802024-11-01131177310.3390/axioms13110773Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric SpacesNabanita Konwar0Pradip Debnath1Department of Mathematics, Birjhora Mahavidyalaya, Bongaigaon 783380, Assam, IndiaDepartment of Mathematical Sciences, Tezpur University, Tezpur 784028, Assam, IndiaIn this paper, we present new findings on <i>F</i>-contraction in bipolar <i>p</i>-metric spaces. We establish a covariant Banach-type fixed-point theorem and a contravariant Reich-type fixed-point theorem based on <i>F</i>-contraction in these spaces. Additionally, we include an example that demonstrates the applicability of our results. Our results non-trivially extend this covariant Banach-type fixed-point theorem and contravariant Reich type theorem via the concept of <i>F</i>-contraction.https://www.mdpi.com/2075-1680/13/11/773covariant Banach-type fixed-pointcontravarient Reich-type fixed-pointfixed pointF-contractionbipolar p-metric spaces |
| spellingShingle | Nabanita Konwar Pradip Debnath Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces Axioms covariant Banach-type fixed-point contravarient Reich-type fixed-point fixed point F-contraction bipolar p-metric spaces |
| title | Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces |
| title_full | Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces |
| title_fullStr | Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces |
| title_full_unstemmed | Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces |
| title_short | Fixed-Point Results of <i>F</i>-Contractions in Bipolar <i>p</i>-Metric Spaces |
| title_sort | fixed point results of i f i contractions in bipolar i p i metric spaces |
| topic | covariant Banach-type fixed-point contravarient Reich-type fixed-point fixed point F-contraction bipolar p-metric spaces |
| url | https://www.mdpi.com/2075-1680/13/11/773 |
| work_keys_str_mv | AT nabanitakonwar fixedpointresultsofificontractionsinbipolaripimetricspaces AT pradipdebnath fixedpointresultsofificontractionsinbipolaripimetricspaces |