Geodesic
A generalization of the Schauder fixed point theorem via multivalued contractions
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 637-640.

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We establish a fixed point theorem for a continuous function f:X→E, where E is a Banach space and X⊆E. Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
Classification : 47H04, 47H10
Mots-clés : fixed points; multivalued contractions; absolute retracts 
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     title = {A generalization of the {Schauder} fixed point theorem via multivalued contractions},
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Cubiotti, Paolo; Di Bella, Beatrice. A generalization of the Schauder fixed point theorem via multivalued contractions. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 637-640. https://geodesic-test.mathdoc.fr/item/CMUC_2001__42_4_a3/