一类混合单调算子方程解的存在性定理  

The existence theorems of solutions for some mixed monotone operator equations

作　　者：邵海成[1] 

机构地区：[1]商丘师范学院软件学院,河南商丘476000

出　　处：《西南民族大学学报（自然科学版）》2009年第1期26-28,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)

摘　　要：利用锥理论和对称迭代方法,讨论了不具有连续性和紧性条件的混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.By using the cone theory and symmetry iteration method, this paper studies the existence and uniqueness of solutions of mixed monotone operator equations without continuity and compactness conditions. The iteration sequences which converge to solution of operator equations and the error estimates are also given. The results presented here improve and generalize some corresponding results.

关 键 词：锥与半序 混合单调算子 不动点 

分 类 号：O177.9[理学—数学]