A generalized random nonlinear variational inclusion for multi-valued random operators in a uniformly smooth Banach space
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Publication Details
Author list: Onjai-Uea N., Kumam P.
Publisher: Eudoxus Press LLC
Publication year: 2012
Journal: Journal of Computational Analysis and Applications (1521-1398)
Volume number: 14
Issue number: 4
Start page: 648
End page: 658
Number of pages: 11
ISSN: 1521-1398
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce and study the random nonlinear variational inclusion problem with multi-valued random operators. We define a random iterative algorithm for finding the approximate solutions of class of random variational inclusions and establish the convergence of random iterative sequence generated by proposed algorithm in a uniformly smooth Banach space. Our result in this paper improves and generalizes some know corresponding results in the literature. ฉ 2012 EUDOXUS PRESS, LLC.
Keywords
Generalized m-accretive mapping, Monotone accretive operator, Random multi-valued operator, Random variational inclusion
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