机构地区: 南昌大学理学院数学系
出 处: 《南昌大学学报(理科版)》 2012年第4期307-311,共5页
摘 要: 在实可分的Banach空间中,由泛函所创立的边界条件下,利用随机半闭1-集压缩算子不动点指数理论,研究随机半闭1-集压缩算子方程解的存在性问题,得到了一些新的结果.所得结论推广了最近一些文献中的相关结论。 This paper mainly studies the existence of random fixed points of random semi-closed 1-set contractive operators by means of the fixed point index theory of random semi-closed 1-set contractive operators in real separable Banach spaces under some new boundary conditions which are established by usual functions,and some new results are obtained.Part of presented results in the paper generalize and improve the corresponding results in recent papers.