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Arzela Ascoli Theorem in Quasi Cone Metric Space

Functional Analysis 2024-09-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2210.06064,
  title  = {Arzela Ascoli Theorem in Quasi Cone Metric Space},
  author = {Shallu Sharma and Iqbal Kour and Sahil Billawria},
  journal= {arXiv preprint arXiv:2210.06064},
  year   = {2024}
}

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10 pages