# On I-statistical cluster point of double sequences

## TL;DR

This paper explores I-statistical cluster points of double sequences, introducing I-natural density and analyzing properties of I-statistically pre-Cauchy sequences in finite-dimensional normed spaces.

## Contribution

It introduces the concept of I-natural density and extends I-statistical cluster point analysis to double sequences in normed spaces.

## Key findings

- Defined I-natural density for double sequences
- Established properties of I-statistically pre-Cauchy sequences
- Analyzed I-statistical cluster points in finite-dimensional spaces

## Abstract

In this paper we are concerned with the recent summability notion of I-statistically pre-Cauchy real double sequences in line of Das et. al. [6] as a generalization of I-statistical convergence. Here we introduce the notion of double I-natural density and present some interesting properties of I-statistically pre-Cauchy double sequences of real numbers. Also in this paper we investigate the notion of I-statistical cluster point of double sequences in finite dimensional normed space.