Perturbed Statistical Cluster Points

Year 2025, Issue: 52, 72 - 82, 30.09.2025

Ceylan Yalçın

https://doi.org/10.53570/jnt.1758551

Abstract

In recent years, generalizations of statistical convergence have appeared in the literature. The notion of perturbed statistical convergence has recently been established as one such generalization. This recent convergence approach aims to enhance the convergence behavior of a sequence by utilizing specific perturbation functions, thereby increasing its flexibility. This paper defines cluster points related to perturbed statistical convergence and investigates some of their fundamental properties.

Keywords

Statistical convergence , statistical cluster points , perturbed metric spaces

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