A Note on I^K and I^K*-convergence in topological spaces

TL;DR

This paper explores the properties and characterizations of I^K-convergence, a generalization of I*-convergence, in topological spaces, introducing new concepts like I^K*-convergence and I^K-limit points.

Contribution

It introduces the notions of I^K*-convergence and I^K-limit points, expanding the understanding of convergence in topological spaces beyond existing concepts.

Findings

Characterization of I^K-convergence properties

Introduction of I^K*-convergence concept

Analysis of I^K-limit points in functions

Abstract

In this paper we have studied some important topological properties and characterization of I^K-convergence of functions which is a common generalization of I*-convergence of functions. We also introduce the idea of I^K*-convergence and I^K-limit points of functions.