序Lipschitz算子的不动点定理及迭代收敛程序的构造  

Fixed Point Theorems of Order Lipschitz Operator with the Constructions of Iternation Convergence Procedures

作　　者：董祥南[1] 

机构地区：[1]江西师范大学数信学院,江西南昌330027

出　　处：《江西师范大学学报（自然科学版）》2003年第4期347-352,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金资助项目(98063)

摘　　要：引入了序Lipschitz算子的概念,并研究了这种算子不动点的存在性问题和迭代收敛程序的构造,得到了一些新的不动点定理.In this paper we define the concept of order Lipschity operator,and investigate the existence problem of fixed point and construction problem of iteration convergence sequence of this kind of operator.Some new and interesting fixed point theorems are obtained.

关 键 词：序Lipschitz算子 不动点定理 迭代收敛程序 增算子 序凹算子 序凸算子 正规锥 ISHIKAWA迭代程序 

分 类 号：O177.91[理学—数学]