Statistical convergence in metric-like spaces
Prasanta Malik, Saikat Das
TL;DR
This paper introduces and explores the concepts of statistical convergence and statistical Cauchyness within metric-like spaces, establishing foundational properties for these notions.
Contribution
It is the first to define and analyze statistical convergence and Cauchyness in metric-like spaces, extending classical ideas to this broader context.
Findings
Established basic properties of statistical convergence in metric-like spaces
Defined statistical Cauchyness and proved related theorems
Extended classical convergence concepts to a new generalized setting
Abstract
In this paper we introduce the notions of statistical convergence and statistical Cauchyness of sequences in a metric-like space. We study some basic properties of these notions
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Iterative Methods for Nonlinear Equations · Fixed Point Theorems Analysis