Contributions aux problèmes variationnels et aux inclusions différentielles dans les espaces de Banach.

Abstract

The thesis consists in three chapters. In the first one, we state all needed definitions and concepts and some preliminary results. In Chapter 2, we study the existence of solutions for nonconvex quasi-variational problems in smooth reflexive Banach spaces. The third chapter is devoted to the study of existence of solutions for nonconvex state dependent sweeping processes in smooth reflexive Banach spaces. At the end of the thesis, we state a conclusion of all obtained results together with a list of some open problems that may interest the researchers in the field.