Covering dimension and differential inclusions

Giovanni Anello

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Displaying similar documents to “Covering dimension and differential inclusions”

On the covering dimension of the fixed point set of certain multifunctions

Ornella Naselli Ricceri (1991)

Commentationes Mathematicae Universitatis Carolinae

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We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented.

A generalization of the Schauder fixed point theorem via multivalued contractions

Paolo Cubiotti, Beatrice Di Bella (2001)

Commentationes Mathematicae Universitatis Carolinae

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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.