Perturbed Statistical Convergence

Abstract

This paper examines the basic features of perturbed statistical convergence in the context of perturbed metric spaces. The suggested method expands on the standard concept of statistical convergence by using a perturbation function that shows the errors that might happen while measuring distance. The relations of this new type of convergence with classical and statistical convergence are discussed in detail. There are some examples and counterexamples that support the new theoretical results. © 2025 Elsevier B.V., All rights reserved.