On the General Solution of a Quadratic Functional Equation and its Ulam Stability in Various Abstract Spaces

Abstract

In this paper, we establish the general solution of a new quadratic functional equation f x − y+z 2

Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces

“…In 2014, Lee et al [23] proved the generalized Hyers-Ulam stability of the mixed type additivequadratic functional equation in Banach spaces. In the same year, Shen and Lan [40] proved the general solution of a new quadratic functional equation of the form…”

A New Approach to Hyers-Ulam Stability of r -Variable Quadratic Functional Equations

“…Very recently, most classical results on the Hyers-Ulam-Rassias stability have been offered in an integrated and self-contained version in [12]. It is worth noting that among the stability problem of functional equations, the study of the Ulam stability of different types of quadratic functional equations is an important and interesting topic, and it has attracted many scholars [13][14][15][16][17][18]. In addition, very recently, authors studied various types of stability results and have been discussed with differential equation [19][20][21][22][23][24][25][26][27][28][29].…”

New Quadratic Functional Equation and Its (Hurs)

“…In particular, for more results on the (HURS) of (QFE) see the papers [5], [6], [7], [8] and on the (HURS) stability of the ordinary or functional differential equations see the papers [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21] and the references therein.…”