  We give some new characterizations of strictly Lipschitz p-summing operators.
These operators have been introduced in order to improve the Lipschitz
p-summing operators. Therefore, we adapt this definition for constructing other
classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and
strictly Lipschitz (p,r,s)-summing operators. Some interesting properties and
factorization results are obtained for these new classes.
