Sun Sook Jin

A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation

We investigate the stability of the functional equation 2 𝑓 ( 𝑥 + 𝑦 ) + 𝑓 ( 𝑥 − 𝑦 ) + 𝑓 ( 𝑦 − 𝑥 ) − 3 𝑓 ( 𝑥 ) − 𝑓 ( − 𝑥 ) − 3 𝑓 ( 𝑦 ) − 𝑓 ( − 𝑦 ) = 0 by using the fixed point theory in the sense of Cădariu and Radu.

Fuzzy stability of a mixed type functional equation

AbstractIn this paper, we investigate a fuzzy version of stability for the functional equation f(x+y+z)-f(x+y)-f(y+z)-f(x+z)+f(x)+f(y)+f(z)=0 in the sense of Mirmostafaee and Moslehian.1991 Mathematics Subject Classification. Primary 46S40; Secondary 39B52.

Fuzzy stability of a general quadratic functional equation

We investigate a fuzzy version of stability for the functional equation f (x + y + z) + f (x - y) + f (x - z) - f (x - y - z) - f (x + y) - f (x + z) = 0 in the sense of M. Mirmostafaee and M. S. Moslehian.

Fuzzy Stability of a Functional Equation Deriving from Quadratic and Additive Mappings

We investigate a fuzzy version of stability for the functional equation in the sense of Mirmostafaee and Moslehian.

ON THE STABILITY OF THE QUADRATIC-ADDITIVE TYPE 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 2f(x+ y) + f(x− y) + f(y − x)− f(2x)− f(2y) = 0.

A Fixed Point Approach to the Stability of a Generalized Quadratic and Additive Functional Equation

In this paper, we investigate the stability of the functional equation f(x + 2y) 2f(x + y) + 2f(x y) f(x 2y) = 0 by using the xed point theory in the sense of L. Cadariu and V. Radu.

Stability of an n-dimensional functional equation related to quadratic-additive mappings in fuzzy normed spaces

In this paper, we investigate a fuzzy version of stability for the functional equation