序Banach空间中非单调二元算子方程组的Mann迭代求解  

Mann’s Iterative Solutions for the System of Binary Non-monotone Operator Equations in Ordered Banach Spaces

作　　者：吴焱生[1] 

机构地区：[1]五邑大学数学物理系,广东江门529020

出　　处：《五邑大学学报（自然科学版）》2007年第2期1-6,共6页Journal of Wuyi University(Natural Science Edition)

摘　　要：在序Banach空间中,运用锥与半序理论和Mann迭代技巧,研究了一类非单调二元算子方程组｛(A(x,x)=xB(x,x)= x解的存在与唯一性,并给出了收敛于算子方程组解的逼近迭代序列和误差估计,进而获得了非单调二元算子算子方程A(x,x)=x的Mann迭代解及其解的逼近迭代序列和误差估计.In ordered Banach spaces, by using the cone and partial ordering theory and the Mann＇s iterative techniques, the existence and uniqueness of the solution for the system of binary non-monotone operator system {A（x,x）=x B（x,x）are studied, and the iterative sequences which converge to the solution for system of operator equations and the error estimations are given, and the Mann＇s iteration solution, the iterative sequences which converge to the solution and the error estimations of the binary non-monotone operator equations A（x, x） = x are also obtained.

关 键 词：锥与半序 算子方程组 MANN迭代 解 

分 类 号：O177.91[理学—数学]