## 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