单值映射 meaning in English

singlevalued mapping

The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces . the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space , which also answers the open problem mentioned above , is studied on finite dimensional euclidean spaces . the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space
?引入了集值映射的-预解算子概念；借助于偏序理论证明了有限维欧氏空间中的单值映射可同秩lipschitz连续拓展；讨论了有限维欧氏空间中的极大-单调集值映射的-预解算子在什么条件下是整个空间上的一个lipschitz连续的单值映射，这一结果也在有限维空间上解决了上面提到的公开问题；还讨论了真泛函的-次微分映射的-预解算子在什么条件下是整个空间上的一个lipsehitz连续的单值映射。