2022European Journal of Pure and Applied MathematicsOpen access

Special Sequences on Generalized Metric Spaces

Yasser Farhat, Amel Souhail, Vadakasi Vigneswaran, Muthumari Krishnan

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Abstract

In this article, in a generalized metric space, we will focus on new types of sequences. We introduce three new kinds of Cauchy sequences and study their significance in generalized metric spaces. Also, we give several interesting properties of these sequences.

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What this paper is about

In this article, in a generalized metric space, we will focus on new types of sequences. We introduce three new kinds of Cauchy sequences and study their significance in generalized metric spaces. Also, we give several interesting properties of these sequences.

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Available abstract

In this article, in a generalized metric space, we will focus on new types of sequences. We introduce three new kinds of Cauchy sequences and study their significance in generalized metric spaces. Also, we give several interesting properties of these sequences.

Key concepts: Mathematics, Metric space, Metric (unit), Cauchy sequence, Equivalence of metrics, Focus (optics), Product metric, Convex metric space

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