Resumen de A note on two open problems of Alsina, Frank and Schweizer

Andrea Mesiarová

• An open problem of Alsina, Frank and Schweizer on k-Lipschitz t-norms is solved. k-convexity of monotone functions is introduced. Archimedean k-Lipschitz t-norms are shown to be generated by k-convex additive generators. Moreover, an example of a strict superadditive t-norm which is not a copula is given thus solving another open problem posed by Alsina, Frank and Schweizer.