Geodesic
Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings
Matematičeskie zametki, Tome 63 (1998) no. 2, pp. 217-224.

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We obtain estimates for the Hausdorff and fractal dimensions of sets $A\subset X$ invariant under multimappings $F\colon X\to 2X$ of a Banach space $X$ into the power set of $X$. 
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V. S. Mel'nik. Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings. Matematičeskie zametki, Tome 63 (1998) no. 2, pp. 217-224. http://geodesic.mathdoc.fr/item/MZM_1998_63_2_a5/

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