Z-C-X空间中的随机泛函分析问题  

Some random functional analysis problems in Z-C-X space

作　　者：朱传喜[1] 宋大龙[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2012年第1期1-4,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10761007;11071108);江西省自然科学基金资助项目(2010GZS0147)

摘　　要：在Z-C-X空间中,利用一半序关系研究随机半闭1-集压缩算子的若干问题。同时利用随机拓扑度理论中的随机不动点指数证明了几个新的定理,从而得到了一些新的结果。Some problems of random semi-closed 1-set contractive operator were investigated in the Z-C-X space,with the use of a partial order relation. Meanwhile, several new theorems were proved by means of random fixed point index in the theory of random topological degree, from which some new results were ob- tained.

关 键 词：Z-C-X空间 半序 随机半闭1-集压缩算子 随机解 随机不动点 

分 类 号：O211.5[理学—概率论与数理统计]