Best Approximations on Quasi-Cone Metric Spaces
Abstract
This paper focuses on the best approximation in quasi-cone metric spaces, a combination of quasi-metrics and cone metrics, which generalizes the notion of distance by allowing it to take values in an ordered Banach space. We explore the fundamental properties of best approximations in this setting, such as the best approximation sets and the Chebyshev sets.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- European Journal of Pure and Applied Mathematics
- Volume
- 19
- Issue
- 1
- Pages
- 6767–6767
- Publication date
- 16 February 2026
- Language
- EN