On Stability of a General Bilinear Functional Equation

نویسندگان

چکیده

Abstract We prove the Hyers–Ulam stability of functional equation $$\begin{aligned}&f(a_1x_1+a_2x_2,b_1y_1+b_2y_2)=C_{1}f(x_1,y_1)\nonumber \\ \nonumber \\&\quad +C_{2}f(x_1,y_2)+C_{3}f(x_2,y_1)+C_{4}f(x_2,y_2) \end{aligned}$$ f ( a 1 x + 2 , b y ) = C 3 4 in class functions from a real or complex linear space into Banach over same field. also study, using fixed point method, generalized $$(*)$$ ? functions. Our results generalize some known outcomes.

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ژورنال

عنوان ژورنال: Results in Mathematics

سال: 2021

ISSN: ['1420-9012', '1422-6383']

DOI: https://doi.org/10.1007/s00025-021-01447-w