Ideal Convergence in neutrosophic 2-normed space via the parameter µ and Zweier Operator

Abstract

This paper introduces a novel convergence concept termed µ− Zweier ideal convergence within
 neutrosophic 2-normed spaces (briefly, N2NS). The parameter µ = (µn) represents a non-decreasing sequence of
 positive real numbers, with each µn tending to infinity. We investigate the behavior of µ-Zweier ideal convergence
 in N2NS, and further study µ-Zweier ideal Cauchy sequences, establishing a clear relationship between these
 sequences and their convergence properties. This novel concept extends the traditional ideal convergence in
 normed spaces to the more generalized structure of neutrosophic 2-normed spaces, where uncertainty and
 indeterminacy are inherent components.

DOI: 10.5281/zenodo.17114533