Banach空间中几类非线性二元算子方程组的迭代求解方法

Iterative solution for some classes of systems of nonlinear two binary operators equations in Banach spaces

利用锥与半序理论和混合单调算子理论,讨论半序Banach空间中几类非线性二元算子方程组的解的存在唯一 性,并给出迭代序列收敛于解的误差估计,改进和推广了关于二元算子方程和方程组可解性的相应结果.

Using the cone and partial ordering theory and mixed monotone operators theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations are discussed. And the error estimates that the iterative sequences converge to solutions are also given. Some relevant results of two binary operators equations and systems of operator equations are improved and generalized.