Best Approximations on Quasi-Cone Metric Spaces

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Authors: Kistosil Fahim, Ahmad Hisbu Zakiyudin, Nur Millatul Af-Idah, Felix Lyanto Setiawan, Ririana Annisatul Lathifah, Nur Izzah Nurdin, Tantri Tarisma
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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