convex cone 中文意思是什麼
convex cone
解釋
凸錐-
The maximal value point s problem of a convex function on a closed convex subset in locally convex space is considered by using the level set of function, - subdifferential and - normal cone. it gives several equivalent characters on the optimal solutions of the problem
利用函數的水平集， -次微分和-法向錐等工具研究局部凸空間的凸函數在閉凸子集上的最大值點問題，給出了最優解的幾個等價刻劃 -
Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote
首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。 -
Abstract : in this paper, a definition of cone - convex set - to - set mapping which domains are failed of linear sturcture is given, their basic properties are discussed
文摘:提出了錐凸集到集映射的概念，並討論了這類映射的基本性質 -
Convex polyhedral cone
凸多面錐 -
Abstract : in this paper, we investigate some properties of cone - continuous vector - valued functionsand the greatest cone lower bound, and prove the connectedness of the cone efficient solutionset for a cone - continuous vector - valued cone - quasiconcave function under the condition thatthe image set is cone - convex
文摘:本文討論了錐連續函數及錐最大下界的性質，在此基礎上討論了錐連續錐擬凹向量函數最大化問題有效解集的連通性，證明了當象集為錐凸集時錐有效解集是連通的 -
We extend this result which is similar to ones of hirsch [ 1l ] and jiang [ 2 ] for 3 - dimensional cooperative system. furthermore, in the paper we discusse the cone of km, and obtain the similar result : theorem b : let f be a continuously differentiable cooperative vector field on d, suppose the following conditions hold : ( a ) d is pm - convex ; ( b ) every forward semi - orbit has compact closure in d ; ( c ) there is not more than one equilibrium p, then there is a unique equilibrium p and it is globally asymptotically stable
此外，本文還將在k _ m錐下討論此問題，並得到平行的結果：定理b ：設f是d上一個連續可微的合作向量場，假設如下條件成立： （ a ） d是p _ m凸的； （ b ） d中的每一個正半軌道有緊閉包； （ c ）至多有一個平衡點p ，則一定存在唯一的平衡點p ，並且是全局漸近穩定的。 -
Object shapes are represented by primitive shapes ( box, cone, cylinder, sphere ), and complexes of polytopes ( line segments, convex polygons, convex polyhedra )
對象形狀用基本形狀（方框，圓錐形，圓柱，球）和復雜的多面體（線段，凸多邊形，凸多面體）來表達。 -
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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