## Paolo Cubiotti, Beatrice Di Bella

*A generalization of the Schauder fixed point theorem via multivalued contractions *

Comment.Math.Univ.Carolinae 42,4 (2001) 637-640. **Abstract:**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.

**Keywords:** fixed points, multivalued contractions, absolute retracts

**AMS Subject Classification:** 47H10

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