具有不动点的二次型函数方程的稳定性
The stability of a quadratic type functional equation with the fixed point alternative
摘要：
本文利用$c\neq0,\pm1$，利用不动点方法，得到了二次型函数方程&f（x+y+2cz）+f（x +y-2cz）+c^2f（2x）+c^2f（2 y）&=2[f（x+y）+c^2f（x+z）+c^2f（x-z）+c^2f（y+z）+c^2f（y-z）] {2.6 cm}对固定整数$c$的通解和广义Hyers-Ulam-Rassias稳定性.
英文摘要：
In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability for the quadratic type functional equation &f(x+y+2cz)+f(x+y-2cz)+c^2f(2x)+c^2f(2y) &=2[f(x+y)+c^2f(x+z)+c^2f(x-z)+c^2f(y+z)+c^2f(y-z)] {2.6 cm} for fixed integers $c$ with $c\neq0,\pm1$, by using the fixed point alternative.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
