Exploring Advanced Stability of Higher-Order Functional Equations in Neutrosophic Normed Spaces via Hyers-Ulam Methodologies

Abstract

In this article, focuses on examining the stability of higher-order functional equations within the framework of neutrosophic normed spaces, which incorporate elements of uncertainty and indeterminacy. By utilizing the Hyers-Ulam method, the study investigates how small perturbations in the functional equations impact their solutions. The research extends classical stability theories, such as Hyers-Ulam stability, into the neutrosophic normed space context, providing a broader understanding of how functional equations behave under uncertainty. The findings offer significant contributions to the field of functional equations and neutrosophic mathematics, opening up new pathways for applications in areas that require the handling of imprecise data.