Sukila Khatun, Amar Kumar Banerjee, Rahul Mondal
Published 2025-01-14Version 1
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 $\mathcal{I}$-limit points and the set of rough $\mathcal{I}$-cluster points and then we prove some relevant results associated with these sets.
Rough convergence of sequences in a partial metric space
$\mathcal I^K$-limit points, $\mathcal I^K$-cluster points and $\mathcal I^K$-Frechet compactness
Rough convergence of sequences in Controlled Metric Type Spaces
![QR code for arXiv:2501.08060 [math.GN]](http://oss.arxitics.com/images/favicon.svg)