Banach空间中几类二元算子方程组解的存在唯一性  

Existence and uniqueness of solutions for systems of some mixed monotone operator equations in banach spaces

作　　者：张斐然[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《河南科学》2003年第3期262-264,共3页Henan Science

基　　金：河南省教委科研基金(1999110018)

摘　　要：利用锥与半序理论,研究半序实Banacn空间中几类二元混合单调算子方程组解的存在唯一性,并给出各种选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。By using the cone and partial ordering throry. In this paper it studies existence and uniqueness of solutions for systems of some mixed monotone operator equations in partial ordering Banach spaces. And it is given several kinds of error estimate of iterative sequence convergence. The results presented here are the essential improvement for some corresponding results.

关 键 词：锥 半序理论 BANACH空间 二元算子方程组 存在唯一性 迭代解法 混合单调算子 

分 类 号：O177.2[理学—数学]