On nonlinear stability in various random normed spaces

On nonlinear stability in various random normed spaces

Blog Article

Abstract In this article, we prove the nonlinear stability of the quartic functional equation 1 6 f ( x + 4 y Fitness ) + f ( 4 x - y ) = 3 0 6 9 f x + y 3 + f ( x + 2 y ) (1) + 1 3 6 f ( x - y ) - 1 3 9 4 f ( x + y ) + 4 2 5 f ( y ) - 1 5 3 0 f ( x ) (2) (3)  in the setting of random normed spaces Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean space, the theory of fixed point Dresses theory, the theory of intuitionistic spaces and the theory of functional equations are also presented in the article.