该文利用半序理论和随机压缩映象原理,得到了一类不连续随机增算子随机不动点的唯一存在定理.作为应用,考虑了R^n中含间断项的一阶随机微分积分方程初值问题.
By using the order theory and random contracted mapping theorem,the existence and uniqueness of random fixed point for a class of discontinuous random operators is obtained. As an application,the existence of the random solution for the initial value problem of the random differential and integral equations in R^n is established.