Iz‐iddine EL‐Fassi, Samir Kabbaj
Abstract
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.
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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.
Key concepts: Mathematics, Quadratic equation, Functional equation, Stability (learning theory), Pure mathematics, Point (geometry), Mathematical analysis, Combinatorics