Best Approximations on Quasi-Cone Metric Spaces

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

arXiv · 2503.10137

Best Approximations on Quasi-Cone Metric Spaces

Ahmad Hisbu Zakiyudin·Kistosil Fahim·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.

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Ahmad Hisbu Zakiyudin, Kistosil Fahim, Nur Millatul Af-Idah, Felix Lyanto Setiawan, Ririana Annisatul Lathifah, Nur Izzah Nurdin, Tantri Tarisma. 2025-03-13. Best Approximations on Quasi-Cone Metric Spaces. https://arxiv.org/abs/2503.10137

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