In this paper, the existence and uniqueness of the fixed point for the product of two nonlinear operator in Banach algebra is discussed. In addition, an approximation method of the fixed point of hybrid nonlinear equations in Banach algebras is established. This method is applied to two interesting different types of functional equations. In addition, to illustrate the applicability of our results we give some numerical examples.

翻译：本文讨论了Banach代数中两个非线性操作员产品固定点的存在和独特性,此外,还确定了Banach代数中混合非线性方程固定点的近似方法,该方法适用于两种有趣的不同功能方程。此外,为了说明我们结果的适用性,我们举了一些数字例子。