Résumé:
The fixed point theory is a highly useful tool that is applied to almost all
branches of mathematical analysis. by applying the other existing theories
there are many problems that cannot be solved but can be easily resolved
by using this theory.
In this work, we explore several fixed-point theorems, for various appli-
cations, defined on complete metric spaces with special conditions, such as
the Banach theorem, Kannan theorem, Chatterjea theorem, Suzuki theo-
rem, theorem of Berinde, and others.
Throughout this study, we detailed some proofs and give several examples
for some of these theorems.
Finally, we apply some of these theorems to study the existence pro-
blem of solutions for systems of linear equations and ordinary differential
equations
