On certain new notion of order Cauchy sequences, continuity in (l)-group
Submitted: 2021-08-25
|Accepted: 2021-12-22
|Published: 2022-04-01
Copyright (c) 2022 Applied General Topology
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
(l)-group, order quasi-Cauchy sequences, statistical ward continuity, uniform order continuity, statistical ward compact set, downward order continuity, upward order continuity
Supporting agencies:
Council of Scientific and Industrial Research, HRDG, India
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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