非线性二元算子方程组的迭代求解方法

摘要

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