EXPLORING STATISTICAL CONVERGENCE VIA IDEALS IN METRIC-LIKE SPACES

Abstract

This work defines and examines the concepts of I-statistical convergence and I-statistical Cauchyness for sequences in a metric-like space. We also examine the I-statistical limit points and cluster points of these sequences, exploring their fundamental properties and the relationships between the sets of all I-statistical limit and cluster points in the context of a metric-like space. © 2025, Gakko Tosho Co. Ltd.. All rights reserved.