monotone mapping 中文意思是什麼

monotone mapping 解釋
單調映射
  • monotone : n. ,adj. 【語言學】單調音（的）；（顏色、文體等的）單調（的）。vt. ,vi. 單調地讀[說、唱]。
  • mapping : n. 【數學】映像，映射。
  1. Fixed point theorems of monotone mapping in ordered metric spaces

    半序度量空間中單調映射的不動點定理
  2. 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-預解運算元概念；藉助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展；討論了有限維歐氏空間中的極大-單調集值映射的-預解運算元在什麼條件下是整個空間上的一個lipschitz連續的單值映射，這一結果也在有限維空間上解決了上面提到的公開問題；還討論了真泛函的-次微分映射的-預解運算元在什麼條件下是整個空間上的一個lipsehitz連續的單值映射。
  3. In 2000. lee and ding introduced the concepts of - monotonicity and - subdifferential for set - valued mappings and proper functionals, respectively, and lee also presents an open problem : if q : h - 2h is a maximal - monotone set - valued mapping, then under what conditions do we have rge ( i + q ) - h

    2000年， lee和ding分別介紹了集值映射的-單調性和真泛函的-次微分兩個概念，同時， lee還提出了一個公開問題：如果q h 2 ~ h是一個極大-單調的集值映射，那麼rge （ i + q ） = h在什麼條件下成立
  4. We define generalized scott topology on an l - fuzzy domain, prove that it is a generalization of scott topology on ordinary domain, and an l - fuzzy monotone mapping is an l - fuzzy scott continuous mapping if and only if it is continuous with respect to the generalized scott topologies, which means that topological continuity is identical to limit continuity

    在l - fuzzydomain上定義廣義scott拓撲，證明了它是通常domain上的scott拓撲的推廣，並且滿足拓撲連續與極限連續一致，即一個l - fuzzy單調映射是l - fuzzyscott連續映射當且僅當它關于其上的廣義scott拓撲連續。
  5. Existence theorems of solutions for a kind of quasi - variational inequalities with monotone type multivalued mapping in hyperconvex metric spaces

    超凸度量空間中一類單調型集值映射擬變分不等式解的存在定理
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