ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

On the Stability of the Generalized Quadratic and Additive Functional Equation in Random Normed Spaces via Fixed Point Method

In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation f(x+ 2y)− 2f(x+ y) + 2f(x− y)− f(x− 2y) = 0.

On the Stability of the n-Dimensional Quadratic and Additive Functional Equation in Random Normed Spaces via Fixed Point Method

In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation f ⎛⎝ n ∑ j=1 xj ⎞⎠ + (n − 2) n ∑ j=1 f(xj) − ∑ 1≤i<j≤n f(xi + xj) = 0. Mathematics Subject Classification: 39B82, 46S50, 46S40

On the Stability of an m-Variables Functional Equation in Random Normed Spaces via Fixed Point Method

On the stability of the Pexiderized cubic functional equation in multi-normed spaces

In this paper, we investigate the Hyers-Ulam stability of the orthogonally  cubic equation and  Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the  $2$-variables cubic  equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2...

On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces

1 Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China 2 Pedagogical Department E.E., Section of Mathematics and Informatics, National and Kapodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, 15342 Athens, Greece 3 School of Communication and Information Engineering, University of Electronic Science and Technology of China, Che...