Fixed points of contractive multivalued maps

Lech Górniewicz, S. Marano, Mirosław Ślosarski

Type: Article

Publication Date: 1996-01-01

Citations: 20

DOI: https://doi.org/10.1090/s0002-9939-96-03265-0

Abstract

For a class of contractive multivalued maps defined on a complete absolute retract and with closed bounded values, the set of fixed points is proved to be an absolute retract. This result unifies and extends to arbitrary absolute retracts both Theorem 1 by Ricceri [Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) <bold>81</bold> (1987), 283–286] and Theorem 1 by Bressan, Cellina, and Fryszkowski [Proc. Amer. Math. Soc. <bold>112</bold> (1991), 413–418].

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	On the relation of connective <i>K</i>-theory to homology	1970	Larry Smith
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