ELKALI, Khalil2019-07-142019-07-142019http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/14936e will study the generalization of the p-convex and q-concave maps of the linear case to the nonlinear case. More precisely the Lipschitz case. Among others, we are interested in some factorization theorems for a good study these operators. Key-words:enLipschitz operator, Banach lattice, Factorization theorems, Positive operator, p-convex operator , q-concave operator.Thesis