Random fixed point of Meir-Keeler contraction mappings and its application

In this paper we introduce a generalization of Meir-Keeler contraction for random mapping T : Ω × C → C, where C be a nonempty subset of a Banach space X and (Ω, Σ) be a measurable space with Σ being a sigma-algebra of subsets of Ω. Also, we apply such type of random fixed point results to prove the existence and unicity of a solution for an special random integral equation.