閉凸集 的英文怎麼說
中文拼音 [bìtūjí]
閉凸集
英文
closed convex set-
Also, we give characteriza - tions of the set of solutions for ( ivep ) in case of nonmonotonicity, weak c - pseudomonotonicity, c - pseudomonotonicity and strict c - pseudomonotonicity, respectively. under these assumptions and additional conditions, we conclude that " the sets of solutions for ( ivep ) are nonempty, closed and convex. finally, we give some applications of ( ivep ) to vector variational inequality problems and vector optimization problems
通過有力的證明和具體的例子，我們可以斷定在一定條件下隱式向量均衡問題（ ivep ）的解集是不空、閉和凸的；最後在第五節里，我們舉出了一些隱式向量均衡問題（ ivep ）應用到向量變分不等式問題和向量優化問題的例子。Absolutely convex closed set
絕對凸閉集合Abstract : in this note, we obtain sufficient conditions that the set of saddle points are convex or closed in two - person zero - sum games
文摘:本文對兩人零和對策給出了其鞍點集是凸的或閉的充分條件Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。Then this paper discusses the main control factors of lithological traps. the types, features and the distributional area of theses depositional systems are dominated by macro paleo - geomorphic units. and the exact position of these lithological traps are determined by local paleo - geomorphic units
古宏觀地貌（凸起、窪陷與大型溝槽）控制了沉積體系的類型、沉積特徵及至儲集體的分佈范圍；局部古地貌（斷槽、地塹、斷階、溝谷等）決定了巖性圈閉發育具體位置。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。Closed convex set
閉凸集合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Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces. takahashi and zhang [ 3 ], tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces. recently, reich [ 6 ], bruck [ 5 ], oka [ 7 ] gave the ergodic convergence theorems for nonexpansive, asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm. li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space, which is a great breakthrough
Baillon [ 1 ]首先在hilbert空間的非空凸閉子集上給出了非擴張映照的弱遍歷收斂定理。 baillon的定理引起了很多數學家的興趣， reich [ 2 ]在hilbert空間中證明了非擴張半群的遍歷收斂定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分別將baillon的定理推廣到漸近非擴張半群及漸近非擴張型半群。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。The kenxi area of jiyang super depression is abundant multiple accumulative oil and gas trap zone, located in a slope zone between the bonan depression and gudao uplift
墾西地區位於濟陽坳陷渤南窪陷與孤島凸起的過渡部位，油氣豐富，分佈有多種圈閉類型的油氣藏，是一個復式油氣聚集帶。分享友人