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

Further results on strictly Lipschitz summing operators