English

I-convergence of sequences in metric-like spaces

General Topology 2024-08-27 v1 Functional Analysis

Abstract

In this paper we introduce and study the notion of I-convergence of sequences in a metric-like space, where I is an ideal of subsets of the set N of all natural numbers. Further introducing the notion of I*-convergence of sequences in a metric-like space we study its relationship with I-convergence.

Keywords

Cite

@article{arxiv.2408.13264,
  title  = {I-convergence of sequences in metric-like spaces},
  author = {Prasanta Malik and Saikat Das},
  journal= {arXiv preprint arXiv:2408.13264},
  year   = {2024}
}