节点文献
一类混合单调算子不动点定理的推广
Generalizations of Fixed Point Theorems of Some Mixed Monotone Operators
【摘要】 运用锥理论与单调迭代技巧 ,讨论了一类混合单调算子的不动点的存在惟一性 ,得到了若干不具有连续性和紧性条件的有关混合单调算子、增算子和减算子的新不动点定理 .所得结果是某些已有结果的本质改进和推广 .
【Abstract】 By using the cone theory and the monotone succession skills,the existence and uniqueness of fixed point for a class of mixed monotone operators are studied,and some new fixed point theorems of mixed monotone operators,increasing operators and decreasing operators which have no continuous and compact conditions are obtained.The results improve and generalize some corresponding results.
【关键词】 锥理论;
半序;
混合单调算子;
不动点;
【Key words】 cone theazy; semi-order ordering; mixed monotone operators; fixed point;
【Key words】 cone theazy; semi-order ordering; mixed monotone operators; fixed point;
【基金】 河南省教委科研基金资助项目,编号 1999110 0 18.
- 【文献出处】 郑州大学学报(理学版) ,Journal of Zhengzhou University (Natural Science Edition) , 编辑部邮箱 ,2004年04期
- 【分类号】O177.91
- 【被引频次】11
- 【下载频次】72