set-valued mapping 中文意思是什麼

set-valued mapping 解釋
集值映射
  • set : SET ＝safe electronic transaction 安全電子交易〈指用信用卡通過因特網支付款項的商業交易〉。n 【埃...
  • valued : adj. 1. 貴重的；被尊重的，重要的。2. 估定了價格的；有（一定）價值的。
  • mapping : n. 【數學】映像，映射。
  1. Fixed point theorems for upper semicontinuous set - valued 1 - set - contractive mapping

    集壓縮映射的不動點定理
  2. Connectedness of the solution set of multiobjective optimization with cone quasiconvex set - valued mapping

    錐擬凸集值映射多目標優化的解集的連通性
  3. Generalized gradient of set - valued mapping and super - efficient solution

    集值映射的廣義梯度與超有效解
  4. Under several suitable transformations, the problem of positive solutions for set - valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method

    摘要本文用某種同倫方法，藉助於一些適當的變換，討論了有序的局部凸拓撲線性空間中集值凝聚映象方程的正解問題。
  5. A problem on seeking solution to set - valued mapping equation

    一類集合值運算元方程的求解問題
  6. Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set - valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points

    當右端集值映射為多面體，邊界為次可微函數，且次微分為有限點集凸包時，基於非光滑分析理論，給出了在一點處檢驗生存性條件是否成立的方法。
  7. The topological convergence of the cone weak subdifferential of set - valued mapping sequence

    集值映射序列的錐弱次微分的拓樸收斂性
  8. 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。
  9. One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions

    研究分有三個方面：一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解運算元，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，並提出了一類變參數三步迭代演算法；二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。
  10. Connectedness of the super efficient solution set of multiobjective optimization with cone upper semicontinuous cone quasiconvex set - valued mapping

    錐撓動意義下弱有效解的上半連續性
  11. Positive fixed point for semidifferentiable and upper semicontinuous set - valued 1 - set - contractive mapping

    集壓縮映射的正不動點
  12. 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
  13. Therefore debreu won the nobel economics prize in 1983, debreu proved the walras compete competition equilibrium exist theorem by fixed - point theorem of set - valued mapping

    Debreu也因此於1983年獲得了諾貝爾經濟學獎， debreu是利用集值分析的方法以集值映射的不動點定理為工具證明walras經濟均衡理論的。
  14. Connectedness of the super efficient solution sets of multiobjective optimization problems with cone upper wemicontinuous set - valued mapping

    錐上半連續集值映射多目標優化問題超有效解集的連通性
  15. The existence of the nonzero solution for set - valued condensing mapping equation in hilbert space

    空間中的多值凝聚映象方程的非零解
  16. In this paper, a concept of strictly efficient solution of the optimization problem for a set - valued mapping is introduced. it is proved that strictly efficient point set of the objective space is connected when objective function is cone convex - like, and that if objective function is cone convex set - valued mapping, then strictly efficient solution set is also connected. as an interesting application of the results in this paper, the connectedness of super efficient solution sets is discussed

    本文對集值映射最優化問題引入嚴有效解的概念.證明了當目標函數為錐類凸的集值映射時，其目標空間里的嚴有效點集是連通的；若目標函數為錐凸的集值映射時，其嚴有效解集也是連通的.作為應用，討論了超有效解集的連通性
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