JournalszaaVol. 6, No. 3pp. 281–286

A General Random Fixed Point Theorem for Upper Semicontinuous Multivalued 1-Set-Contractions

  • Siegfried Hahn

    Dresden, Germany
A General Random Fixed Point Theorem for Upper Semicontinuous Multivalued 1-Set-Contractions cover
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Abstract

A random fixed point theorem of Leray-Schauder type for multivalued upper semicontinuous 1-set-contractions is proved. The domains are allowed to be random. The result generalizes several random fixed point theorems and implies a stochastic version of a fixed point theorem of Petryshyn for multivalued mappings.

Cite this article

Siegfried Hahn, A General Random Fixed Point Theorem for Upper Semicontinuous Multivalued 1-Set-Contractions. Z. Anal. Anwend. 6 (1987), no. 3, pp. 281–286

DOI 10.4171/ZAA/249