On certain new notion of order Cauchy sequences, continuity in (l)-group

Sudip Kumar Pal; Sagar Chakraborty

doi:10.4995/agt.2022.16126

Authors

Sudip Kumar Pal Diamond Harbour Women's University
Sagar Chakraborty Jadavpur University

DOI:

https://doi.org/10.4995/agt.2022.16126

Keywords:

(l)-group, order quasi-Cauchy sequences, statistical ward continuity, uniform order continuity, statistical ward compact set, downward order continuity, upward order continuity

Abstract

In this paper, we introduce the notions of order quasi-Cauchy sequences, downward and upward order quasi-Cauchy sequences, order half Cauchy sequences. Next we consider an associated idea of continuity namely, ward order continuous functions [2] and investigate certain interesting results. The entire investigation is performed in (l)-group setting to extend the recent results in [5, 6].

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