偏度量空间中的粗理想收敛

Rough convergence of sequences in a partial metric space

In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are affected in a partial metric space.

偏度量空间中序列的粗糙统计收敛性

Rough statistical convergence of sequences in a partial metric space

本文在偏度量空间中利用自然密度引入粗糙统计收敛，证明粗糙统计极限点集为闭有界集，并揭示其与统计聚点集的关系。

部分度量空间中粗糙 $\mathcal{I}$-统计收敛性

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

本文研究了部分度量空间中序列的粗糙 $\mathcal{I}$-统计收敛性，扩展了粗糙统计和粗糙理想收敛性的概念，并探讨了相关性质。

粗糙族、聚点与核

Rough families, cluster points, and cores

本文在拓扑空间中引入相对于子集族的理想收敛新概念，研究极限点集合的性质，并用理想聚点和理想核对其进行刻画。

关于粗糙理想收敛性

On rough ideal convergence

本文研究了拓扑空间中序列的粗糙理想收敛性，通过引入聚点和极限点的概念，探讨了其性质及与经典理想收敛性的区别。

Rough $I$-convergence in cone metric spaces

Here we have studied the notion of rough $I$-convergence as an extension of the idea of rough convergence in a cone metric space using ideals. We have further introduced the notion of rough $I^*$-convergence of sequences in a cone metric space to find the relationship between rough $I$ and $I^*$-convergence of sequences.