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Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application.
- Source :
- Mathematics (2227-7390); Jan2024, Vol. 12 Issue 1, p121, 16p
- Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- FIXED point theory
CONTRACTIONS (Topology)
INTEGRAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 174722064
- Full Text :
- https://doi.org/10.3390/math12010121