A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings

A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings

<p>Abstract</p> <p>We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with <inline-formula> <graphic file="1029-242X-2010-123524-i2.gif"/></inline-formula>-mo...

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Main Authors: Wu Xin-kun, Zou Yun-zhi
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/123524
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spelling doaj-8de32f7b0e8d4b478bf90c6fe8c84fb82020-11-25T01:27:25ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101123524A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued MappingsWu Xin-kunZou Yun-zhi<p>Abstract</p> <p>We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with <inline-formula> <graphic file="1029-242X-2010-123524-i2.gif"/></inline-formula>-monotonicity in two Hilbert spaces and develop a new algorithm which produces four random iterative sequences. We also discuss the existence of the random solutions to this new kind of system of variational inclusions and the convergence of the random iterative sequences generated by the algorithm.</p>http://www.journalofinequalitiesandapplications.com/content/2010/123524
collection DOAJ
language English
format Article
sources DOAJ
author Wu Xin-kun
Zou Yun-zhi
spellingShingle Wu Xin-kun
Zou Yun-zhi
A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
Journal of Inequalities and Applications
author_facet Wu Xin-kun
Zou Yun-zhi
author_sort Wu Xin-kun
title A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
title_short A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
title_full A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
title_fullStr A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
title_full_unstemmed A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings
title_sort system of random nonlinear variational inclusions involving random fuzzy mappings and <inline-formula> <graphic file="1029-242x-2010-123524-i1.gif"/></inline-formula>-monotone set-valued mappings
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p>Abstract</p> <p>We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with <inline-formula> <graphic file="1029-242X-2010-123524-i2.gif"/></inline-formula>-monotonicity in two Hilbert spaces and develop a new algorithm which produces four random iterative sequences. We also discuss the existence of the random solutions to this new kind of system of variational inclusions and the convergence of the random iterative sequences generated by the algorithm.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/123524
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AT zouyunzhi asystemofrandomnonlinearvariationalinclusionsinvolvingrandomfuzzymappingsandinlineformulagraphicfile1029242x2010123524i1gifinlineformulamonotonesetvaluedmappings
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