NEW SYSTEMS OF GENERALIZED QUASI-VARIATIONAL INCLUSIONS IN FC-SPACES AND APPLICATIONS

(整期优先)网络出版时间:2011-03-13
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Inthispaper,westudysomenewsystemsofgeneralizedquasi-variationalinclusionproblemsinFC-spaceswithoutconvexitystructure.Byapplyinganexistencetheoremofmaximalelementsofset-valuedmappingsduetotheauthor,somenewexistencetheoremsofsolutionsforthesystemsofgeneralizedquasi-variationalinclusionproblemsareprovedinnoncompactFC-spaces.Asapplications,someexistenceresultsofsolutionsforthesystemofquasi-optimizationproblemsandmathematicalprogramswiththesystemsofgeneralizedquasi-variationalinclusionconstraintsareobtainedinFC-spaces.