摘要
运用锥与半序理论与单调迭代技巧,讨论了一类算子方程A(x,x)=Bx解的存在唯一性,并给出了迭代序列收敛速度的误差估计,所得结果是某些已有结果的本质改进和推广.
Using the cone and partial ordering theory and the monotone iterative technique, the existence and uniqueness of soluation for a class of operator equation A（x,x）=Bx are discussed. And the estimates of convergence rate for iterative sequence are also given. The results presented here improve and generalize some corresponding results.
出处
《西南民族大学学报（自然科学版）》
CAS
2008年第1期12-14,共3页
Journal of Southwest Minzu University(Natural Science Edition)
基金
河南省教委科研基金资助项目(200410483004)
关键词
算子方程
锥与半序
混合单调算子
迭代解法
operator equation
cone and partial ordering
mixed monotone operator
iterative soluation
