Geodesic
Topological properties of the~set of fixed points of a~multivalued map
Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1761-1782

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This paper is a study of the topological properties of the set of fixed points of a multivalued map. Some theorems are proved on the topological dimension of this set, and conditions are studied under which the set is connected or acyclic. The theorems obtained are applied to the investigation of the set of solutions of differential and integral inclusions. 
@article{SM_1997_188_12_a2,
     author = {B. D. Gel'man},
     title = {Topological properties of the~set of fixed points of a~multivalued map},
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     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_12_a2/}
}
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B. D. Gel'man. Topological properties of the~set of fixed points of a~multivalued map. Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1761-1782. http://geodesic.mathdoc.fr/item/SM_1997_188_12_a2/