Results on coupled points in CRҪb-metric spaces
Abstract
This paper uses a new generalization of complex-valued CRҪb −metric space. This definition was stated in previous research published in the Samarra Journal of Pure and Applied Science. Here, some new results on coupled coincidence points and coupled fixed points for self-mappings with fractional contraction conditions are obtained in these spaces. It is an extension of previous results proven in classical metric spaces. The requirements of the work are, firstly, to call to mind the topological structure of this space and, secondly, to mention some equivalent statements for convergence and Cauchy sequences. The results are illustrated by example.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Mathematics and Applications
Relativity and Gravitational Theory
Publication details
- Journal / source
- AIP conference proceedings
- Volume
- 3393
- Pages
- 060002–060002
- Publication date
- 1 January 2026
- Language
- EN