Proceedings of the American Mathematical Society

Author(s): L. Górniewicz; S. A. Marano; M. Slosarski
Journal: Proc. Amer. Math. Soc. 124 (1996), 2675-2683.
MSC (1991): Primary 47H10, 47H04
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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) 81 (1987), 283--286] and Theorem 1 by Bressan, Cellina, and Fryszkowski [Proc. Amer. Math. Soc. 112 (1991), 413--418].

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47H10, 47H04

L. Górniewicz
Affiliation: Institute of Mathematics, University Nicholas Copernicus, Chopina 12/18, 87-100 Torun, Poland
Email: gorn@mat.uni.torun.pl

S. A. Marano
Affiliation: Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy
Email: marano@dipmat.unict.it

M. Slosarski
Affiliation: Institute of Mathematics, University Nicholas Copernicus, Chopina 12/18, 87-100 Torun, Poland

DOI: 10.1090/S0002-9939-96-03265-0
PII: S 0002-9939(96)03265-0
Keywords: Contractive multivalued map, fixed point, absolute retract
Received by editor(s): November 7, 1994
Received by editor(s) in revised form: January 9, 1995
Additional Notes: This paper was performed in part while the second author was visiting the Institute of Mathematics, University Nicholas Copernicus, Torun
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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