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Rough $\mathcal{I}$-statistical convergence in a partial metric space

General Topology 2025-11-25 v1

Abstract

In this paper we study the notion of rough I\mathcal{I}-statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistical and rough ideal convergence. Here we define rough I\mathcal{I}-statistical limit set and discuss some relevant properties associated with this set.

Keywords

Cite

@article{arxiv.2511.18355,
  title  = {Rough $\mathcal{I}$-statistical convergence in a partial metric space},
  author = {Sukila Khatun and Khairul Hasan and Amar Kumar Banerjee},
  journal= {arXiv preprint arXiv:2511.18355},
  year   = {2025}
}

Comments

12 Pages

R2 v1 2026-07-01T07:50:48.173Z