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COMMON FIXED POINT RESULTS IN COMPLEX VALUED b-METRIC SPACES WITH APPLICATIONS.
- Source :
-
Journal of Mathematical Analysis . 2024, Vol. 15 Issue 2, p34-47. 14p. - Publication Year :
- 2024
-
Abstract
- The purpose of this research article is to point out some fallacies in the statements of the main results of Rao et al. [Bull. Maths. Stat. Res] and Berrah et al. [AIMS Mathematics, 4(3)(2023), 1019{1033] and give a genuine contractive condition in the framework of complex valued b-metric spaces. We also introduce interpolative rational contractions in complex valued b-metric spaces and prove some fixed point results for such contractions. A non-trivial example is also provided to demonstrate the validity of obtained theorems. As an application, we investigate the existence of solutions for integral equations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIXED point theory
*CONTRACTIONS (Topology)
*INTEGRAL equations
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 21173419
- Volume :
- 15
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 177139659
- Full Text :
- https://doi.org/10.54379/JMA-2024-2-3