Abdo, Mohammed Salem2022-05-182022-05-1820151590https://drepo.sdl.edu.sa/handle/20.500.14154/3536The objective of this thesis is to prove a new existence theorem for solutions to sweeping processes. We have proven an existence theorem concerning the existence of solutions for a sweeping process generated by a convex and compact values setvalued map and with perturbation which its values are not necessarily compact in p-uniformly convex and q-uniformly smooth Banach spaces.enThesis