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Keywords:
fixed points; multivalued contractions; absolute retracts
fixed points; multivalued contractions; absolute retracts
Summary:
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.
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