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COMMON FIXED POINT RESULTS IN COMPLEX VALUED b-METRIC SPACES WITH APPLICATIONS.

Authors :
ALHARBI, EBTISAM SALEM
NOMAN ABDOU, AFRAH AHMAD
AHMAD, JAMSHAID
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]

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