Iteration families for which expansion implies collapse

• Autores: Grazyna Lydzinska
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 70, Nº. 3, 2005, págs. 247-253
• Idioma: inglés
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• Resumen

  • We introduce the notion of an expanding iteration semigroup of set-valued functions and prove that for a family of multifunctions, naturally occuring in iteration theory, it coincides with the stronger one of iteration semigroup.