Arzela Ascoli Theorem in Quasi Cone Metric Space

Fuente: arXiv
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Autori principali: Sharma, Shallu, Kour, Iqbal, Billawria, Sahil
Natura: Preprint
Pubblicazione: 2022
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author Sharma, Shallu
Kour, Iqbal
Billawria, Sahil
author_facet Sharma, Shallu
Kour, Iqbal
Billawria, Sahil
contents In this paper we investigate Arzela Ascoli Theorem in quasi cone metric space, which is a generalization of metric space. We prove some interesting results using forward and backward toplologies, forward and backward continuity and forward and backward totally boundedness. A new notion forward and backward equicontinuity is also introduced.
format Preprint
id arxiv_https___arxiv_org_abs_2210_06064
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Arzela Ascoli Theorem in Quasi Cone Metric Space
Sharma, Shallu
Kour, Iqbal
Billawria, Sahil
Functional Analysis
49J45, 54E35, 54E50, 54A20, 54D30, 47L07
In this paper we investigate Arzela Ascoli Theorem in quasi cone metric space, which is a generalization of metric space. We prove some interesting results using forward and backward toplologies, forward and backward continuity and forward and backward totally boundedness. A new notion forward and backward equicontinuity is also introduced.
title Arzela Ascoli Theorem in Quasi Cone Metric Space
topic Functional Analysis
49J45, 54E35, 54E50, 54A20, 54D30, 47L07
url https://arxiv.org/abs/2210.06064