Random Fixed Point Theorems Of Random Mixed Monotone Operator

In this paper, Random fixed point problem for two classes of nonlinear random binary operator are considered. Firstly,according to the cone theory and non-symmetric iterative technique, the existence and uniqueness of random fixed point of random mixed monotone operator equations are studied without compactness conditions, and the iteration sequences which converge to solution of operator equations and the error estimates are also given . Secondly, we prove random fixed point problemwe about random non-mixed monotone operator. Finally, the exisitence and uniqueness of random fixed point of random anti-mixed monotone operator are analyszed. in the semi-order real Banach space.