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 |
| Published: |
MDPI AG
2023-12-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/1/121 |
| Summary: | 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. |
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| ISSN: | 2227-7390 |