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

• Autores: Andrea Mesiarová
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 72, Nº. 1-2, 2006, págs. 41-46
• Idioma: inglés
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• Resumen

  • 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.