一类二元算子方程组的迭代解法  

Iterative solution for systems of some binary operator equations

作　　者：赵树理[1] 陈海霞[2] 

机构地区：[1]商丘师范学院数学系,河南商丘476000 [2]郑州职业技术学院,河南郑州450121

出　　处：《商丘师范学院学报》2010年第3期29-32,共4页Journal of Shangqiu Normal University

基　　金：河南省教委自然科学基金资助项目(2009110013)

摘　　要：利用非线性泛函分析中的锥与半序理论和单调迭代方法,讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.By using the cone and partail ordering theory, the monotonous iteration method in nonlinear funtional analysis, the existenee and uniqueness of solutions of non - monotone binary operator system of equations without continuity and compactness conditions are studied. And the error estimates that the iteration sequences converge to solution of operator equations are also given. The results presented improve and generalize some corresponding results.

关 键 词：锥与半序 迭代解法 反向混合单调算子 方程组 

分 类 号：I779.1[文学—其他各国文学]