简介:ThispaperaimstostudythesolvabilityofvectorKyFaninequalitiesandthecompactnessofitssolutionsets.Forvector-valuedfunctionswiththeconesemicontinuityandtheconequasiconvexityininfinitedimensionalspaces,theauthorsprovesomeexistenceresultsofthesolutionsandthecompactnessofthesolutionsets.Especially,someresultsforthevectorKyFaninequalitiesonnoncompactsetsarebuiltandthecompactnessofitssolutionsetsarealsodiscussed.Asapplications,someexistencetheoremsofthesolutionsofvectorvariationalinequalitiesareobtained.