ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXX, 1 (2011)
p. 39 - 42

On square iterative roots of multifunctions

Zhijie Nan and Lin Li

Received: May 21, 2009;   Revised: December 12, 2010;   Accepted: December 17, 2010



Abstract.   Most known results on iterative roots are given under the assumption of continuity and monotonicity. In 2009, Li, Jarczyk, Jarczyk and Zhang considered the existence of square iterative roots for multifunctions with exactly one set-valued point. They gave a full description of these roots for strictly monotone, upper semicontinuous multifunctions. In this paper, we investigate the square roots of multifunctions without monotonicity.

Keywords:  Iterative root; multifunction; monotonicity  

AMS Subject classification: Primary:  39B12, 37E05, 54C60  



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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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