convex space 中文意思是什麼
convex space
解釋
凸空間-
Q - uniformly convex metric space and its application
一致凸度量空間及其應用 -
Convex metric space
凸度量空間 -
Some sufficient and necessary conditions for the multi - step iterative sequences of the asymptotically quasi - nonexpansive mappings ti to converge to certain common fixed points in the convex metric space are obtained
摘要研究了凸度量空間中用多步迭代序列來逼近漸近非擴張映象的不動點，並給出了其收斂于不動點的充分必要條件。 -
Abstract : in this paper, we get some new coincidence point theorems and several fixed point theorems for expansive mappings. in addition we get some fixed point theorems for nonexpansive mapping on a convex metric space. the main results are theorem2 and theorem7, and theorem9
文摘:給出了某些新的重合點定理和幾個擴張映射的不動點定理，還得到在凸距離空間中非擴張映射的不動點定理，主要結果是定理2與定理7 、定理9 -
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， 。 -
By using bruck ' s lemma [ 10 ], passty [ 31 ] extended the results of [ 1, 16 ] to uniformly convex banach space with a frechet differentiable norm. however, there existed more or less limitations in their methods adopted. by using new techniques, chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property
Feattieranddotson 16 ]和bose [ l ]通過使用opial引理17 }在具弱連續對偶映照的一致凸b ~ h空間中證明了漸近非擴張映照的弱收斂定理， passty 31通過使用bruck引理10 ]把1 ， 16 ]的結果推廣到具freehet可微范數的一致凸banach空間，然而，他們的證明存在著種種局限性。 -
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 -
Presents a new algorithm for detection of collision between two convex objects to improve the efficiency of collision detection during robot path planning in the robot simulation system, which establishes a linear system whithout variables based on a linear equation system in euclidean space through a series transformation, and concludes that collision is detected if the system contains no dilemma
如何進一步提高碰撞檢測的速度在智能機器人路徑規劃中非常關鍵.為此給出了一種新的碰撞檢測演算法；它是以空間中的平面方程為基礎，將一組平面方程進行幾次代數變換得到一組常數不等式，觀察這組常數不等式中是否含有矛盾不等式即可判定機器臂是否與空間中的障礙物相撞 -
So - called " increases the oxygen beautiful white skin " is forces the flesh circulation metabolism, every day piles up the human body the pressure creates the toxin and matter causes hormone is out of balance and the disorder mood, afresh conformity eliminate, borrows by ionization principle lead it out, gives the flesh sufficiently contains the oxygen space and balance method the human body, recuperate the qi and blood, the blood vessel gives to reply, returns to original state for is beautiful, moving, the kind charitable cheek concave - convex exquisite body
所謂的「增氧玉膚」即是強迫肌膚循環代謝，將人體每日堆積之壓力所造成之毒素、物引起之荷爾蒙失調及紊亂情緒，重新整合徹底排除，藉由離子化原理將其一一引導出來，給予肌膚充足含氧空間及人體之平衡方法，促全身疏筋活絡、氣脈通暢、活血化瘀、細胞扭曲之筋脈、血管予以回復，還原為美麗、動人、親切慈善之臉蛋凹凸玲瓏纖體。 -
In the paper, new classes of generalized lkkm and generalized s - lkkm mappings in a nonempty subset of a l - convex space are obtained
本文首先在l -凸空間的非空子集上引進新的廣義lkkm映射和廣義s - lkkm映射。 -
At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces
首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。 -
At the same time, we especially study a class of abstract generalized vector equilibrium problem ( in short, agvep ) in g - convex space, using the generalized s - r - kkm type theorem, we establish some new existence theorems of equilibrium points for the agvep in noncompact g - convex spaces
同時，我們在g -凸空間內著重研究了一類抽象廣義矢量平衡問題（簡稱agvep ） ，利用廣義s - r - kkm型定理在非緊g -凸空間內建立了一些新的抽象廣義矢量平衡問題平衡點的存在定理。 -
An embedding theorem for space of distributions onlocally convex space
局部凸空間上檢驗函數與廣義函數空間的嵌入定理及其應用 -
In chapter two, we prove a nonempty intersection theorem in l - convex space by using a continuous selection theorem
在第二章中，我們運用一個連續選擇定理證明了l -凸空間中的一個非空交定理 -
Some new generalized lkkm and generalized s - lkkm theorems are established under the noncompact setting of a l - convex space
然後，在非緊的條件下建立廣義lkkm定理和廣義s - lkkm定理。 -
In chapter one, r - kkm mappings is discussed. the more general generalized l - r - kkm theorems are established in l - convex space. as applications, a minimax inequalities and a saddle point theorem are obtained in noncompact l - convex spaces
章中，研究了r - kkm映像，在l -凸空間中得到了更為一般的廣義l - r - kkm型定理，給出了對極大極小不等式和鞍點存在問題的應用。 -
The model - matching problem in locally convex space
局部凸空間中的模型匹配問題 -
Complete locally convex space
完備局部凸空間 -
Minimax theorems for vector - valued mappings on g - convex space
凸空間上的向量極小極大定理 -
The system of generalized mixed vector equilibrium problems in product g - convex space
凸空間內的廣義混合向量平衡組問題
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