随机反向混合单调算子的随机不动点定理

Random Fixed Point Theorems of Random Anti-mixed Monotone Operator

利用锥理论和非对称迭代技巧,讨论了半序实Banach空间一类不具有紧性条件的随机反向混合单调算子的随机不动点的存在唯一性.不仅给出了迭代序列收敛于解的误差估计,而且把某些反向混合单调算子的不动点定理进行了随机化.

By using the cone theory and non-symmetry iterative technique, the existence and uniqueness of random fixed point of random anti-mixed monotone operator are studied without compactness conditions in the semi-order real Banach space. The iteration sequences which converge to solution and the error estimates are also given, and some random version of fixed point theorems for anti-mixed monotone operator are derived.