Geodesic
On square iterative roots of multifunctions
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 1 
Zhijie Nan; Lin Li. On square iterative roots of multifunctions. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2011_80_1_a2/
@article{AMUC_2011_80_1_a2,
     author = {Zhijie Nan and Lin Li},
     title = {On square iterative roots of multifunctions},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2011},
     volume = {80},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.