Convergence of Partial maps via bornology through ideal and its Characterization

TL;DR

This paper explores the convergence of nets of partial functions between metric spaces using bornology and ideals, extending previous concepts of convergence.

Contribution

It introduces a new framework for I-convergence of partial functions via bornology, generalizing earlier convergence notions.

Findings

Provides basic characterizations of I-convergence of nets of partial functions.

Extends the concept of convergence of nets of partial functions.

Offers a unified approach through bornology and ideals.

Abstract

In this paper we consider the idea of I - convergence of nets of partial function from a metric space (X; d) to a metric space (Y; ?) and derive several basic characterization. This idea extends the concept of convergence of nets of partial function introduced by G. Beer et.al [1].