集值映射 的英文怎麼說
中文拼音 [jízhíyìngshè]
集值映射
英文
set valued mapping-
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The upper semi - continuity on their solutions of optimization problems on the cone
錐上半連續錐擬凸集值映射多目標優化超有效解集的連通性In this paper, some new concepts are introduced for functional monotonicity and co - coerciveness of set - valued mappings, and variously possible implication relationships are studied among known and new concepts
摘要本文介紹幾個新的集值映射的函數單調性和餘強制性概念，並討論它們與已有概念間各種可能的蘊含關系。Abstract : in this paper, some new concepts are introduced for functional monotonicity and co - coerciveness of set - valued mappings, and variously possible implication relationships are studied among known and new concepts
文摘:本文介紹幾個新的集值映射的函數單調性和余強制性概念，並討論它們與已有概念間各種可能的蘊含關系Under the assuption of generalized subconvexlikeness, the optimality conditions of set - valued optimization problems in linear space are established by using obtained gordan - farkas type alternative theorem. under the assuption of near subconvexlikeness and - generalized convexity, the optimality conditions of set - valued optimization problems in linear topological space are established by using alternative theorem of near subconvexlikeness and obtained farkas - minkowski type alternative theorem. the concepts of super efficient solution and - super efficient solution are defined in normed space, and the optimality conditions of set - valued optimization problems are established under the assuption of semi - preinvexity
在廣義次似凸性假設下，利用已獲得的gordan - farkas型的擇一性定理，建立了線性空間中集值優化問題的最優性條件。在近次似凸和-廣義錐凸性假設下，利用近次似凸集值映射的擇一性定理和已獲得的farkas - minkowski型的擇一性定理，建立了線性拓撲空間中集值優化問題的最優性條件。This dissertation studies mainly approximations to special classes of set - valued maps and their applications, in order to compute differentials of some class of set - valued maps and to solve basis theories of constructing high - ordered methods of nonsmooth functions. then results obtained in this dissertation are applied to optimality theories in optimization
本文針對研究非光滑函數的高階演算法的理論基礎和集值映射的微分的計算的課題，主要研究幾類特殊類型的集值映射的（方向）導數的計算與近似，並將得到的結果應用到優化的最優性理論中。Uniform convergence in space of set - valued maps
集值映射空間的一致收斂A fixed point theorem for set - valued mappings
一個集值映射的不動點定理Error bounds for pseudoconvex multifunctions
偽凸集值映射的誤差界Continuity of l - fuzzy set - valued mappings
集值映射的幾乎半連續性Almost semi - continuity of set - valued mappings on super - spaces
錐擬凸集值映射與集值映射的錐半連續性The generalized variational inequality problem in banach spaces
空間中集值映射的廣義變分不等式問題Fixed points and iterations of multi - valued nonexpansive mapping
非擴張集值映射的迭代收斂性及不動點Generalized gradient of set - valued mapping and super - efficient solution
集值映射的廣義梯度與超有效解Set value mapping and its application
集值映射及其應用Generalized symmetric vector quasi - equilibrium problems for set - valued mappings
集值映射的廣義對稱向量擬平衡問題With developing fuzzy mathematics, the importance of set value mapping has been highlighted, so that the upgrade of all kinds of the structures, such as ordered, topological measurable structure, etc, have been considered
模糊數學理論的發展突出了集值映射的重要性，各種數學結構需要由論域向其冪集上提升，如序結構的提升，拓撲結構的提升，可測結構的提升等等。Discussion on aubin - francowska ' s theorem of the minimum selection of closed convex set - valued mappings
關于閉凸集值映射最小選擇的一個結果的討論Chapter 2 established derivatives of a class of set - valued maps and differentials of subdifferential maps of convex functions in the sense of tyurin ( 1965 ) and banks & jacobs ( 1970 ) based on theories of convex pairs space
在第2章中，建立了一類基於凸集對空間的理論在tyurin （ 1965 ）和banks & jacobs （ 1970 ）意義下集值映射的導數的計算公式和凸函數的次微分映射的微分。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。分享友人