摘要
在Banach空间中,利用迭代方法,研究了满足一定条件的序压缩算子的一些性质,获得了一类序压缩映射的不动点定理,证明了相应的结果,推广和改进了原有的结论,使其应用范围更加广泛.
In Banach spaces, by using the iterative method, this paper studies the order contraction mapping, which satisfies some properties. Fixed point theorem8 for a class of ordered contraction mapping in Banach spaces are obtained and proved, which extends and improves the original results.
出处
《纯粹数学与应用数学》
CSCD
2012年第3期333-341,共9页
Pure and Applied Mathematics
基金
陕西省自然科学基金(2012JM1017)
关键词
序BANACH空间
正规锥
不动点
序压缩算子
ordered Banach spaces, normal cone, fixed point, order contraction mapping