Iterative roots of mappings with a unique set-value point

Lin Li, Justyna Jarczyk, Witold Jarczyk, Weinian Zhang · Publicationes Mathematicae Debrecen · 2009

We continue the study of the existence of square iterative roots of multifunctions with exactly one set-value point, reported by the third and fourth authors in [7].First we present nonexistence results in some cases not considered there.Then we give a full description of square roots of strictly monotone, upper semicontinuous multifunctions.The last extends the construction presented by M. Kuczma [9].

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