摘要
在半序空间X中证明了具A=CB型增算子的某些新的不动点定理.本文完全没有使用对算子A的连续性和对锥性质的假设.只要求第二空间是半序拓扑空间,B(D)是相对紧集,所得结果推广了近期相关结论.
Let X be partly ordered space, we obtain some new existence theorems of fixed points for increasing operators which is expressed as the form A = CB . In this paper, we do not assume any continuity on A and property on cone. It is only required that the second space is partly ordered topological space and B(D) possess the relatively compactness. Our conclusions generalize and improve many well-known results.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2008年第5期597-600,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省教育厅科技计划(GJJ08169)资助项目
关键词
增算子
集值增算子
半序拓扑空间
不动点
increasing operators
set-valued increasing operators
partly ordered topological space
fixed point