Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces
Karapinar et al. established a more general class of contractions, namely, hybrid interpolative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics>&l...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/2/465 |
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| author | Ahmad Aloqaily Dur-e-Shehwar Sagheer Isma Urooj Samina Batul Nabil Mlaiki |
| author_facet | Ahmad Aloqaily Dur-e-Shehwar Sagheer Isma Urooj Samina Batul Nabil Mlaiki |
| author_sort | Ahmad Aloqaily |
| collection | DOAJ |
| description | Karapinar et al. established a more general class of contractions, namely, hybrid interpolative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula>iech <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">I</mi></semantics></math></inline-formula>strǎstescue-type contractions, and presented some results on the platform of metric spaces. This research uses the domain of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric spaces to modify this class proficiently. Several interesting fixed-point results are presented by using this new class defined on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric space, where the symmetric condition is preserved in this study. Examples are provided for the authentication of proved results. Eventually, an application is also provided in order to comprehend our extensive effort in a better way. |
| first_indexed | 2024-03-11T08:05:24Z |
| format | Article |
| id | doaj.art-f8b70dffb6da422995b69e247f43da4a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:05:24Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f8b70dffb6da422995b69e247f43da4a2023-11-16T23:33:41ZengMDPI AGSymmetry2073-89942023-02-0115246510.3390/sym15020465Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric SpacesAhmad Aloqaily0Dur-e-Shehwar Sagheer1Isma Urooj2Samina Batul3Nabil Mlaiki4Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Capital University of Science and Technology, Islamabad 44000, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad 44000, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad 44000, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaKarapinar et al. established a more general class of contractions, namely, hybrid interpolative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula>iech <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">I</mi></semantics></math></inline-formula>strǎstescue-type contractions, and presented some results on the platform of metric spaces. This research uses the domain of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric spaces to modify this class proficiently. Several interesting fixed-point results are presented by using this new class defined on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric space, where the symmetric condition is preserved in this study. Examples are provided for the authentication of proved results. Eventually, an application is also provided in order to comprehend our extensive effort in a better way.https://www.mdpi.com/2073-8994/15/2/465?-metric space (?MS)hybrid interpolative ℛiech ℐstrǎstescue ℛℐ-type contractionspicard operator<i>π</i>-admissible mappingFredholm integral equations |
| spellingShingle | Ahmad Aloqaily Dur-e-Shehwar Sagheer Isma Urooj Samina Batul Nabil Mlaiki Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces Symmetry ?-metric space (?MS) hybrid interpolative ℛiech ℐstrǎstescue ℛℐ-type contractions picard operator <i>π</i>-admissible mapping Fredholm integral equations |
| title | Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces |
| title_full | Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces |
| title_fullStr | Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces |
| title_full_unstemmed | Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces |
| title_short | Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces |
| title_sort | solving integral equations via hybrid interpolative ri type contractions in 𝔟 metric spaces |
| topic | ?-metric space (?MS) hybrid interpolative ℛiech ℐstrǎstescue ℛℐ-type contractions picard operator <i>π</i>-admissible mapping Fredholm integral equations |
| url | https://www.mdpi.com/2073-8994/15/2/465 |
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