1. COMMON FIXED POINT RESULTS IN COMPLEX VALUED b-METRIC SPACES WITH APPLICATIONS.
- Author
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ALHARBI, EBTISAM SALEM, NOMAN ABDOU, AFRAH AHMAD, and AHMAD, JAMSHAID
- Subjects
FIXED point theory ,CONTRACTIONS (Topology) ,INTEGRAL equations ,MATHEMATICS - 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]
- Published
- 2024
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