English

Rough ideal convergence in a partial metric space

General Topology 2025-01-15 v1

Abstract

In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a partial metric space. We define the set of rough I\mathcal{I}-limit points and the set of rough I\mathcal{I}-cluster points and then we prove some relevant results associated with these sets.

Keywords

Cite

@article{arxiv.2501.08060,
  title  = {Rough ideal convergence in a partial metric space},
  author = {Sukila Khatun and Amar Kumar Banerjee and Rahul Mondal},
  journal= {arXiv preprint arXiv:2501.08060},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-28T21:05:49.787Z