序对称压缩算子方程的迭代求解及其应用  

Iterative Solution of Ordering Symmetric Contraction Operator Equations with Applications

作　　者：张庆政[1] 

机构地区：[1]商丘师专数学系,河南商丘476000

出　　处：《工程数学学报》2000年第2期131-134,共4页Chinese Journal of Engineering Mathematics

基　　金：河南省教委重点科研基金资助项目;山东省自然科学基金资助项目

摘　　要：利用锥理论和单调迭代技巧 ,研究序对称压缩的混合单调算子方程解的存在唯一性 ,并给出迭代序列收敛于解的误差估计。作为应用 ,讨论了不具有单调性的算子方程的可解性 。With the cone theory and monotone iterative technique,the existence and uniqueness of the solution for the ordering symmetric contraction mixed monotone operator equations are studied,and the error estimations for the convergent iterative sequence are also given.As the applications of the resulting results,the solvability of operator equations which do not possess monotonicity are discussed.Some covailable results are improved and generalized.

关 键 词：解 锥 序对称压缩算子方程 迭代序列 存在性 

分 类 号：O177.91[理学—数学]