O teorema do ponto fixo de Banach e aplicações.

Abstract

The fixed point theorem Banach is a result on metric spaces, With many applications, particularly to demonstrate the existence of solutions of differential equations. In fact, many problems in mathematics are reduced to finding fixed points of a application. The objective of this work is to present iixed point theorem, and consider an important appli— cation of this theorem in ODEas, ie, we use the fixed point theorem for Banach prove the famous theorem of existence and uniqueness of Picard.