Random fixed point theorems and Leray[--]Schauder alternatives for $\,{\mathcal U}_c^{\kappa}\,$ maps
Commun. Korean Math. Soc. 2005 Vol. 20, No. 2, 299-310
Printed June 1, 2005
Ravi P. Agarwal, Donal O'Regan
Florida Institute of Technology, National University of Ireland
Abstract : This paper presents new random fixed point theorems for ${\mathcal U}_c^{\kappa}$ maps and new random Leray--Schauder alternatives for $\,{\mathcal U}_c^{\kappa}\,$ type maps. Our arguments rely on recent deterministic fixed point theorems and on a result on hemicompact maps in the literature.
Keywords : random fixed point theorems, $\,{\mathcal U}_c^{\kappa}\,$ maps, random Leray--Schauder alternatives, deterministic fixed point theorems, hemicompact maps
MSC numbers : 47A10
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