Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach

Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functional equation

Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique

“…Consider there exists an another quadratic mapping Q 2 : V → W satisfies the inequality (45). Then, (15), we get…”

“…Many subsequent works employed the fixed point alternative to get generalized findings in many functional equations in various domains of Hyers-Ulam stability. The reader is given the following books and research articles that describe the progress made in the problem of Ulam over the last 70 years (see, for example [10][11][12][13][14][15][16]).…”

Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method

“…Recently, the stability of many functional equations in various spaces such as Banach spaces, fuzzy normed spaces and random normed spaces have been broadly inspected by a lot of mathematicians ( [1,6,8,9,16,20]).…”

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

“…In recent years, there are many interesting results concerning these problems obtained by different authors [2,3,5,8,9,10,11,13,14,15,16,17,23].…”