| 半序空间非连续增算子的不动点定理及应用 |
| |
| 引用本文： | 郑雄军,孙经先. 半序空间非连续增算子的不动点定理及应用[J]. 江西师范大学学报(自然科学版), 2008, 32(5) |
| |
| 作者姓名： | 郑雄军 孙经先 |
| |
| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022;徐州师范大学,数学系,徐州,221116 |
| |
| 基金项目： | 江西省教育厅科技项目 |
| |
| 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.
|
| 关 键 词： | 增算子 集值增算子 半序拓扑空间 不动点 |
Fixed Point Theorems of Discontinuous Increasing Operations in Partly Ordered Space |
| |
| ZHENG Xiong-jun,SUN Jin-xian. Fixed Point Theorems of Discontinuous Increasing Operations in Partly Ordered Space[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2008, 32(5) |
| |
| Authors: | ZHENG Xiong-jun SUN Jin-xian |
| |
| Affiliation: | 1.Department of Mathematics;Jiangxi Normal University;Nanchang 330027;China;2.Department of Mathematics;Xuzhou Normal University;Xuzhou Jiangshu 221116;China |
| |
| Abstract: | 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. |
| |
| Keywords: | increasing operators set-valued increasing operators partly ordered topological space fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
