I and I*-soft convergence in soft topological spaces

TL;DR

This paper introduces new concepts of I and I*-soft convergence, limit points, and cluster points in soft topological spaces, exploring their properties and relationships.

Contribution

It presents the first systematic study of I and I*-soft convergence and related notions in soft topological spaces, expanding the theoretical framework.

Findings

Defined I and I*-soft convergence in soft topological spaces

Explored properties of I-soft limit and cluster points

Analyzed relationships between these convergence notions

Abstract

In this paper, we introduce the notions of I and I*-soft convergence of sequences of soft points in soft topological spaces and study some basic properties of these notions. Also we introduce the notions of I-soft limit points and I-soft cluster points of a sequence of soft points in a soft topological space and study their interrelationship