Quadratic f-hom-ders in Banach Algebra Related to System of Quadratic Functional Equations

Abstract

Mirzavaziri and Moslehian [13] introduced the concept of f-derivations and Sripattanet et al. [18] introduced a quadratic hom-der in Banach algebras. In this paper, we solve the system of quadratic functional equations (Formula presented), Using Mirzavaziri and Moslehian’s idea and Sripattanet et al.’s idea, we define a quadratic f-homder in Banach algebras, and we investigate the Hyers-Ulam stability of quadratic f-hom-ders in Banach algebras.