I-divergence and I*-divergence in cone metric spaces

TL;DR

This paper explores the concepts of I-divergence and I*-divergence in cone metric spaces, analyzing their relationship, conditions for equivalence, and providing a decomposition theorem for I-convergent sequences in cone normed spaces.

Contribution

It introduces and examines I-divergence and I*-divergence in cone metric spaces, establishing their relationship and proving a decomposition theorem for I-convergent sequences.

Findings

I-divergence and I*-divergence are related and sometimes equivalent under certain conditions.

A decomposition theorem for I-convergent sequences in cone normed spaces is established.

Conditions for the equivalence of I-divergence and I*-divergence are identified.

Abstract

In this paper we have studied the ideas of I-divergence and I*-divergence of sequences in cone metric spaces. We have investigated the relationship between I-divergence and I*-divergence and their equivalence under certain condition. Further we prove a decomposition theorem for I-convergent sequences in a cone normed space.