Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application
In this scholarly discourse, we present proof of the existence of unique fixed points in <i>b</i>-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming <i>S</i>-compatibility for two pairs of self-...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/1/121 |
| _version_ | 1797358493909385216 |
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| author | Xiaolan Liu Mi Zhou Arslan Hojat Ansari Naeem Saleem Mukesh Kumar Jain |
| author_facet | Xiaolan Liu Mi Zhou Arslan Hojat Ansari Naeem Saleem Mukesh Kumar Jain |
| author_sort | Xiaolan Liu |
| collection | DOAJ |
| description | In this scholarly discourse, we present proof of the existence of unique fixed points in <i>b</i>-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming <i>S</i>-compatibility for two pairs of self-mappings within the framework of <i>b</i>-metric spaces. As a practical demonstration of the aforementioned results, we apply them to a type of integral equation and derive a theorem that guarantees the existence of solutions. |
| first_indexed | 2024-03-08T15:02:50Z |
| format | Article |
| id | doaj.art-d645b65026f34a65b4209356a35d35b4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T15:02:50Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d645b65026f34a65b4209356a35d35b42024-01-10T15:03:40ZengMDPI AGMathematics2227-73902023-12-0112112110.3390/math12010121Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an ApplicationXiaolan Liu0Mi Zhou1Arslan Hojat Ansari2Naeem Saleem3Mukesh Kumar Jain4College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Science and Techology, University of Sanya, Sanya 572022, ChinaDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj 6915136111, IranDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanJawahar Navodaya Vidyalaya, Udalguri 784509, IndiaIn this scholarly discourse, we present proof of the existence of unique fixed points in <i>b</i>-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming <i>S</i>-compatibility for two pairs of self-mappings within the framework of <i>b</i>-metric spaces. As a practical demonstration of the aforementioned results, we apply them to a type of integral equation and derive a theorem that guarantees the existence of solutions.https://www.mdpi.com/2227-7390/12/1/121fixed/common fixed pointrational contraction<i>b</i>-metric space<i>C</i>-class function<i>S</i>-compatibility |
| spellingShingle | Xiaolan Liu Mi Zhou Arslan Hojat Ansari Naeem Saleem Mukesh Kumar Jain Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application Mathematics fixed/common fixed point rational contraction <i>b</i>-metric space <i>C</i>-class function <i>S</i>-compatibility |
| title | Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application |
| title_full | Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application |
| title_fullStr | Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application |
| title_full_unstemmed | Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application |
| title_short | Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application |
| title_sort | fixed point results for hybrid rational contractions under a new compatible condition with an application |
| topic | fixed/common fixed point rational contraction <i>b</i>-metric space <i>C</i>-class function <i>S</i>-compatibility |
| url | https://www.mdpi.com/2227-7390/12/1/121 |
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