Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces

Abstract

In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy φ-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.

Keywords

• non-Archimedean φ-2-normed space
• fixed point
• quadratic-additive functional equation