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 $f:X\to E$, where $E$ is a Banach space and $X\subseteq E$. Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
We establish a fixed point theorem for a continuous function $f:X\to E$, where $E$ is a Banach space and $X\subseteq E$. Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
Classification : 47H04, 47H10
Keywords: 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. http://geodesic.mathdoc.fr/item/CMUC_2001_42_4_a3/