摘要
提出了Z_C_X空间以及优锥的新概念 ,在Z_C_X空间中研究了随机半闭 1_集压缩算子的若干问题· 首先 ,证明了一个重要的不等式· 其次 ,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结论· 在仿平行四边形律之条件下得到了一类随机算子方程的随机解 ,在偏序的Z_C_X空间中推广了著名的Altman定理· 因此 。
The new concepts of the Z_C_X space and excellent cone are introduced. Some problems of random semiclosed 1_set_contractive operator are investigated in the Z_C_X space. At first, an important inequality is proved. Secondly, several new conclusions are proved by means of random fixed point index in the theory of random topological degree. A random solution of a class of random operator equations under conditions of imitating the parallelogram law is obtained, famous Altman's theorem is generalized in partially ordered Z_C_X space. Therefore, some new results are obtained.
出处
《应用数学和力学》
CSCD
北大核心
2002年第8期837-842,共6页
Applied Mathematics and Mechanics
基金
江西省自然科学基金资助项目 (0 0 110 2 2 )
