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A generalization of the Schauder fixed point theorem via multivalued contractions

Paolo Cubiotti, Beatrice Di Bella (2001)

Commentationes Mathematicae Universitatis Carolinae

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.

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