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 $X$. 
@article{MZM_1998_63_2_a5,
     author = {V. S. Mel'nik},
     title = {Estimates of the fractal and {Hausdorff} dimensions of sets invariant under multimappings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {217--224},
     publisher = {mathdoc},
     volume = {63},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_2_a5/}
}
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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/