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http://dx.doi.org/10.4134/CKMS.2005.20.2.299

RANDOM FIXED POINT THEOREMS AND LERAY-SCHAUDER ALTERNATIVES FOR Uck MAPS  

AGARWAL RAVI P. (Department of Mathematics Sciences Florida Institute of Technology Melbourne)
REGAN DONAL O (Department of Mathematics National University of Ireland Galway)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.2, 2005 , pp. 299-310 More about this Journal
Abstract
This paper presents new random fixed point theorems for $U_c^k$ maps and new random Leray-Schauder alternatives for $U_c^k$ 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; random Leray-Schauder alternatives; deterministic fixed point theorems; hemicompact maps;
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Times Cited By KSCI : 1  (Citation Analysis)
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