Random common fixed points of single-valued and multivalued random operators in a uniformly convex banach space
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Publication Details
Author list: Kumam P.
Publisher: Eudoxus Press LLC
Publication year: 2011
Journal: Journal of Computational Analysis and Applications (1521-1398)
Volume number: 13
Issue number: 2
Start page: 368
End page: 375
Number of pages: 8
ISSN: 1521-1398
Languages: English-Great Britain (EN-GB)
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Abstract
Let (Ω, ∑) be a measurable space with ∑ a sigma-algebra of subsets of Ω. Let M be a nonempty closed bounded convex and separable subset of a uniformly convex Banach space X; and let f: Ω×M → M; T: Ω×M → KC(M) be a single valued and a multivalued nonexpansive commuting random operators, where KC(M) is the family of all nonempty compact convex subset of M with the Hausdorff metric induced by the norm of X. It is shown that every random operator T and f has a common random fixed point. Moreover, we also derive a random coincidence point for a pair of multi-valued and single-valued commuting random operators in a uniformly convex Banach space. © 2011 by Eudoxus Press,LLC All rights reserved.
Keywords
Multi-valued random operators, Random common fixed point
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