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http://dx.doi.org/10.4134/JKMS.2002.39.1.051

RANDOM FIXED POINT THEOREMS FOR *-NONEXPANSIVE OPERATORS IN FRECHET SPACES  

Abdul, Rahim-Khan (Department of Mathematical Sciences King Fahd University of Petroleum and Minerals)
Nawab, Hussain (Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 51-60 More about this Journal
Abstract
Some random fixed point theorems for nonexpansive and *-nonexpansive random operators defined on convex and star-shaped sets in a Frechet space are proved. Our work extends recent results of Beg and Shahzad and Tan and Yaun to noncontinuous multivalued random operators, sets analogue to an earlier result of Itoh and provides a random version of a deterministic fixed point theorem due to Singh and Chen.
Keywords
random fixed point; nonexpansive random operator; *-nonexpansive random operator; Chebyshev set; demiclosed map; Frechet space;
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Times Cited By Web Of Science : 2  (Related Records In Web of Science)
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