SILVA, J. B.; http://lattes.cnpq.br/6061598346291921; SILVA, José de Brito.
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.