一类反向混合单调算子方程组解存在唯一性定理  

Fixed Points for Some Anti Mixed Monotone Operators

作　　者：赵彩红[1] 

机构地区：[1]石家庄信息工程职业学院,石家庄050035

出　　处：《煤炭技术》2012年第8期194-195,共2页Coal Technology

摘　　要：本文利用锥与半序理论和单调迭代技巧,得出在不要求任何连续性和紧性条件下反向混合单调算子方程组解存在唯一性定理,所得结果拓展了反向混合单调算子方程组的若干结论。In this paper, with using the mixed monotone operator theory and cone and partial ordering theory, the existence and uniqueness theorems of solutions for the systems of operator equations which do not possess any continuity and compactness conditions are given. The results obtained in this paper imorove and generalize some known results of mixed monotone operators.

关 键 词：锥 反向混合单调算子方程组 不动点定理 

分 类 号：O177.91[理学—数学]