Abstract:
This thesis is devoted to some results of existence and uniqueness of fixed points at the same time in the metric and normed framework with their applications. These results are illustrated by many examples and to exit the theoretical contributions and use this thematic in the the case of the phenomena of applied sciences, we study the resolution of stochastic differential equation where the unknown is a stochastic process and that of nonlinear transport equation where the unknown represents a density of particles.
