Non-Archimedean Random Stability of σ− Quadratic Functional Equation

Abstract : The aim of this paper is to investigate the generalized Hyers - Ulam stability of the following quadratic functional equation f(ax + by) = a^2g(x) + b^2h(y) + (ab/2)[f(x + y) − f(x + σ(y))] in non-Archimedean RN-spaces, by using the fixed point method.