摘要
本文研究了乘积空间中非线性算子的极大极小不动点和迭代法.作为我们结果的推论,一些耦合不动点定理被获得、它们推广了由郭大钧和Lankshmikantham获得的耦合不动点定理.(见Nonlinear Anal、11(1986),623—632)和由兰在[4]、[6]中获得的结果.
In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of out result, some coupled fixed point theorems are obtained, which generalize the con pled fixed point theorems obtained by Guo Da-jun and Lankshmikantham and the results obtained by Lan in [4] and [6].
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第3期209-213,共5页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
关键词
非线性算子
不动点
极小
迭代
极大
minimal and maximal fixed point, coupled fixed point
