| Summary: | In this article we □rst discuss the existence and uniqueness of a solution for the coincidence problem:Find $p in X$ such that Tp = Sp; where X is a nonempty set, Y is a complete metric space, and$T; S : X to Y$ are two mappings satisfying a Wardowski type condition of contractivity. Later on, wewill state the convergence of the Picard-Juncgk iteration process to the above coincidence problemas well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to studythe existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iterationprocess towards the solution of a second order di□erential equation.
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