Rough Cauchy Sequences in a Cone Metric Space
Rahul Mondal
TL;DR
This paper introduces the concept of rough Cauchy sequences within cone metric spaces, exploring their fundamental properties and extending the understanding of sequence behavior in this generalized metric setting.
Contribution
It presents the novel idea of rough Cauchy sequences in cone metric spaces and investigates their basic properties, expanding the theoretical framework.
Findings
Defined rough Cauchy sequences in cone metric spaces
Discussed fundamental properties of these sequences
Extended the theoretical understanding of sequence behavior
Abstract
Here we have introduced the idea of rough Cauchyness of sequences in a cone metric space. Also here we have discussed several basic properties of rough Cauchy sequences in a cone metric space using the idea of Phu.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Fixed Point Theorems Analysis · Fuzzy and Soft Set Theory