摘要
利用锥与半序理论 ,研究半序实Banach空间中不具有连续性和紧性条件的几类二元算子方程组解的存在唯一性 ,并给出各种迭代序列收敛速度的误差估计 ,是某些已有结果的本质改进和推广 .
By using the cone and partial ordering throry this paper studies the sole existence of solutions of some binary system of equations without continuity and compactness conditions in partial ordering Banach spaces. And it gives several kinds of error estimate of iterative sequence convergence. The results presented here are an essential improvement for some corresponding results.
出处
《西南民族学院学报（自然科学版）》
2000年第4期371-374,共4页
Journal of Southwest Nationalities College(Natural Science Edition)
基金
河南省教委科研基金
关键词
锥
半序
混合单调算子
方程组
迭代解法
BANACH空间
cone and partial ordering
mixed monotone operator
system of equations
iterative solutions
