摘要
利用锥与半序理论和混合单调算子理论,研究半序Banach空间中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,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方程A(x,x)=x和非单调算子方程Ax=x的唯一解及其解的逼近迭代序列和误差估计,并改进和推广了有关文献中的相应结果.
Abstract： With the cone and partial ordering theory and mixed monotone operator theory, the existence and uniqueness of the solution for the systems of binary non-montone operator equations{A（x,x）=xB（x,x）=x are studied, and the iterative sequences which converge to the solution for system of operator equations and the error estima- tions are given, and the iterative solution, the iterative sequences which converge to the solution and the error estimations of binary non-monotone operator equations A （ x, x ） = x and operator equations Ax = x are also obtained. The results of some references are improved and extended.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2007年第2期197-202,共6页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
锥与半序
二元算子
算子方程组
迭代解
cone and partial ordering
two binary operators
systems of operator equations
iterative solution
