
In this paper some random fixed point theorems for the mappings on an ordered Banach space are proved. As applications, the existence of the extremal solutions of some nonlinear functional random integral equations is obtained under certain monotonicity conditions.
Fixed-point theorems, Random nonlinear operators, fixed points for random operators, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, monotone random operator, nonlinear functional random integral equation
Fixed-point theorems, Random nonlinear operators, fixed points for random operators, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, monotone random operator, nonlinear functional random integral equation
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