Displaying similar documents to “A view on differential inclusions.”

Epigraphical analysis

H. Attouch, R. J.-B. Wets (1989)

Annales de l'I.H.P. Analyse non linéaire

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Fixed points of multivalued contractions with nonclosed, nonconvex values

Salvatore A. Marano (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.