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arXiv · 2311.01137

Rough convergence of sequences in Controlled Metric Type Spaces

Sukila Khatun·Amar Kumar Banerjee
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Abstract

Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality. Phu \cite{PHU} introduced the idea of rough convergence of sequences in a normed linear space. In this paper we have brought the idea of rough convergence of sequences in a controlled metric type space. We have proved several results associated with rough limit sets and some relevant results associated with such convergence.

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Sukila Khatun, Amar Kumar Banerjee. 2023-11-02. Rough convergence of sequences in Controlled Metric Type Spaces. https://arxiv.org/abs/2311.01137

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