A note on the probabilistic N-Banach spaces

TL;DR

This paper introduces probabilistic n-Banach spaces, establishing foundational concepts and analyzing convergence within these spaces through various lemmas and theorems.

Contribution

It is the first to define probabilistic n-Banach spaces and explore their convergence properties.

Findings

Established basic concepts of probabilistic n-Banach spaces

Proved key lemmas and theorems on convergence in these spaces

Provided a foundation for future research in probabilistic functional analysis

Abstract

In this paper, we define probabilistic n-Banach spaces along with some concepts in this field and study convergence in these spaces by some lemmas and theorem.