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Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application
- Source :
- Mathematics, Vol 12, Iss 1, p 121 (2023)
- Publication Year :
- 2023
- Publisher :
- MDPI AG, 2023.
-
Abstract
- In this scholarly discourse, we present proof of the existence of unique fixed points in b-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming S-compatibility for two pairs of self-mappings within the framework of b-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.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.645b65026f34a65b4209356a35d35b4
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math12010121