一类随机方程组的解及其连续性

THE EXISTENCE AND CONTINUITY OF THE SOLUTION FOR A CLASS RANDOM OPERATOR SYSTEM OF EQUATIONS

本文中给出了一类非单调压缩型随机映射的随机不动点定理,并在Polish空间中讨论了一类随机算子方程组的随机解及其关于参数的连续依赖性问题,推广已知的某些重要结果。

In this paper, A new type of random operators system of equations in Polish space is defined, the existence and continuity of the solution for this type random operators system of equations is established, several known important results are extanded.