O teorema do ponto fixo de Banach e o método das aproximações sucessivas.

Abstract

In thisworkweusethetheoryofmetricspacestopresentthedemonstrationoftheBanach FixedPointTheorem.Asanapplication,westudytheTheoremofExistenceandUniqueness of SolutionstotheInitialValueProblemforfirstorderOrdinaryDifferentialEquations,known as PicardTheorem.Themethodofthesuccessiveapproximationswasusedtogetapproximate solutions ofintegralequations.