论文标题
在Banach代数中两个操作员的固定点的近似,并应用于某些功能方程
Approximation of the fixed point of the product of two operators in Banach algebras with applications to some functional equations
论文作者
论文摘要
在本文中,讨论了Banach代数中两个非线性操作员的乘积的固定点的存在和唯一性。另外,建立了Banach代数中混合非线性方程的固定点的近似方法。该方法应用于两种有趣的不同类型的功能方程。此外,为了说明我们结果的适用性,我们提供了一些数值示例。
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.