Some results on coupled coincidence points in vector quasi cone metric spaces over Banach algebras with satisfactory cones
Authors
S. M. A. Abou Bakr
- Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.
H. K. Hussein
- Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.
Abstract
Let \((X, C,\mathbb{D}_{C}, \chi )\) be a complete parametric vector quasi cone metric space over a Banach algebra \(\mathbb{A}\), \(C\) be a cone in \(\mathbb{A}\) that contains some semi-interior points, \(\chi\) be a metric parameter in \(C\) with a spectral radius \(\sigma (\chi )\geq 1\), and \(T: X\times X \to X\) be a generalized contraction mapping where its parametric contractions are vectors in \(C\), with these settings and without relying on the assumptions of normality and solidness of \(C\), we prove the existence of coupled coincidence points of the mapping \(T\) and hence generalize many theorems concerned with the existence of coupled coincidence points of such types and we support these results with some illustrative examples.
Share and Cite
ISRP Style
S. M. A. Abou Bakr, H. K. Hussein, Some results on coupled coincidence points in vector quasi cone metric spaces over Banach algebras with satisfactory cones, Journal of Mathematics and Computer Science, 31 (2023), no. 3, 305--317
AMA Style
Abou Bakr S. M. A., Hussein H. K., Some results on coupled coincidence points in vector quasi cone metric spaces over Banach algebras with satisfactory cones. J Math Comput SCI-JM. (2023); 31(3):305--317
Chicago/Turabian Style
Abou Bakr, S. M. A., Hussein, H. K.. "Some results on coupled coincidence points in vector quasi cone metric spaces over Banach algebras with satisfactory cones." Journal of Mathematics and Computer Science, 31, no. 3 (2023): 305--317
Keywords
- Banach algebra
- normal cones
- solid cones
- cone metric spaces over Banach algebra
- semi interior points
- coupled coincidence points
MSC
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