Iterative Algorithms for Nonlinear Random Operator Equations in Product Spaces

We extend a result of Nashed and Engl (1979) on fixed points of nonlinear random operators by using iterative methods to the case of nonlinear random operators on product spaces. The obtained result in a way is a probabilistic (stochastic) version of the deterministic fixed point theorems in product spaces by Kirk (1989), Kirk and Sternfeld (1984), Kirk and Yanez (1988), Tan and Xu(1991), and others.