STABILITY OF A AFFINE TYPE AQ FUNCTIONAL EQUATION IN VARIOUS BANACH SPACES

Abstract

n this article, a new affine type AQ functional equations is proposed. The generalized Ulam-Hyers stability of this equations is analyzed using the product, sum, and mixed product-sum of powers of norms, as well as the general control function. The stability analysis is carried out in Banach space and Intu-itionistic Fuzzy Banach spaces using Hyers direct method. Also, we examine the stability of same functional equation by using Radus Fixed point method in both the spaces.