几类非线性二元算子方程组的迭代解法(英文)

Iterative Solution for some Classes of Systems of Nonlinear Two Binary Operators Equations

利用混合单调算子和锥与半序理论,讨论Banach空间中几类非线性二元算子方程组的解的存在性和唯一性,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 mixed monotone operators theory and the cone with partially ordered 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 about the sovabilitg of two binary operators equations and systems of operator equations are improved and generalized.