O teorema da função implícita em espaços de Banach e aplicações.
In this work, we will study and make a historical overview about the implicit function theorem. our main objective will be to present the generalization of this theorem for Banach spaces and prove in detail that extension. Furthermore, we will show some results of extreme usefulness that will be demonstrated as applications of the theorem in question.
Espaços de Banach, Derivada de Fréchet, Teorema da função Implícita, Banach Spaces, Fréchet's derivative, Implicit function theorem
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