首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 78 毫秒
1.
WMPROPERTYOFORLICZSPACESWITHORLICZNORMChenShutao(陈述涛)(Dept.ofMath.,HarbinNorm.Uni.,Harbin150080,China)DuanYanzheng(段延正)(Dep.o...  相似文献   

2.
几类不具有捏制轨道系列完整性的单峰函数族   总被引:1,自引:0,他引:1  
本文证明,存在着由单峰函数构成的Co-函数族{fλ),{gλ}及具有下列性质:(i)各fλ均是分段线性的单峰平顶函数,各gλ及均是C∞-单峰平顶函数.但族{fλ},{gλ}及均非一致平顶;(ii)族{fλ}及{gλ}均满足一致的Lipschitz条件,但在峰顶处均非一致地可微;(iii)族在峰顶处一致地可微,但不满足一致的Lipschitz条件;(iv)当0≤λ≤7/8时捏制序列K(fλ),K(gλ)及以均不大于RLC,当7/8<λ-≤1时K(fλ),K(gλ)及K均不小于RLL(RLR)∞,因而族{fλ},{gλ}及均不具有捏制轨道系列的完整性.本文的结果解答了文[5]中提出的两个猜测.  相似文献   

3.
题目 设I为△ABC的内心,K、L、M分别为△ABC的内切圆在BC、CA、AB上的切点,已知通过点B与MK平行的直线分别与直线LM及LK交于R、S两点,求证∠RIS为锐角.证明 记△ABC的内切圆半径为r,∵ RS∥MK且△MKL为切点三角形,故 ∠RSK=∠MKL=∠LMA,∴ S、L、M、B四点共圆.故 RB·RS=RM·RL.但R是圆I外一点,RM·RL=RI2-r2,∴  RB·RS=RI2-r2(1)同理可知 SB·SR=SI2-r2(2)由(1)、(2)有RI2+SI2-2r2=RS…  相似文献   

4.
ONINCLUSIONRELATIONSBETWEENBERS-ORLICZSPACESZhaoRuhan(赵如汉)(Inst.ofMath.Sac.,ChineseAcademyofScienced,Wuhan430071,China)Abstra...  相似文献   

5.
用CROUZEIX-RAVIART元解非自共轭椭圆型问题的重叠型区域分解算法顾金生(北京航空航天大学动力系)胡显承(清华大学应用数学系)OVERLAPPINGDOMAINDECOMPOSITIONMETHODFORNONSELFADJOINTELLI...  相似文献   

6.
顾金生  胡显承 《计算数学》1995,17(3):282-290
用CROUZEIX-RAVIART元解非自共轭椭圆型问题的重叠型区域分解算法顾金生(北京航空航天大学动力系)胡显承(清华大学应用数学系)OVERLAPPINGDOMAINDECOMPOSITIONMETHODFORNONSELFADJOINTELLI...  相似文献   

7.
推广正则半群中的双理想到po-半群之中,利用po-半群中的双理想研究了正则poe-半群、内正则poe-半群。得到了如下主要结果:①S为正则duo的充要条件是:B(ab)=B(a)∩B(b),A↓a、b∈S;②S正则duo的充要条件为S为B-单序半群的半格;③S内正则的充要条件为:R∩B∩L包含于(LBR];④S正则且内正则的充要条件为:R∩B∩L包含于(BRL]。  相似文献   

8.
数学问题解答1995年10月号问题解答(解答由问题提供人给出)976己知。是锐角,则(1+——)(1+——)>f。证明,原不等式即为4.作RLAABC,如图,使斜边上的高CD—1,且又AB上的中线大于或等于DC—1,于是AB三2,又由BC+AC>AB...  相似文献   

9.
胡卫群 《数学杂志》1994,14(4):465-467
强正则环的刻划胡卫群(安徽省滁州师范专科学校)Auslander在[3]中证明了:环A是VonNeumann正则的对于A的任意左理想L与A的任意右理想R,,总有RnL=RL.R.YueChiMing在[2]中推广了Auslander[3]的结果,证明...  相似文献   

10.
DECOMPOSITIONFORBERS-ORLICZSPACESZhaoRuhan(赵如汉)(WuhanIust.ofMath.Sci.,AcadrmiaSinda.,Wuhan430071,China.)DECOMPOSITIONFORBERS-...  相似文献   

11.
Scalarization of Henig Proper Efficient Points in a Normed Space   总被引:1,自引:0,他引:1  
In a general normed space equipped with the order induced by a closed convex cone with a base, using a family of continuous monotone Minkowski functionals and a family of continuous norms, we obtain scalar characterizations of Henig proper efficient points of a general set and a bounded set, respectively. Moreover, we give a scalar characterization of a superefficient point of a set in a normed space equipped with the order induced by a closed convex cone with a bounded base.  相似文献   

12.
Very recently, Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025–1033] suggested and analyzed an iterative method for finding a common solution of a generalized equilibrium problem and a fixed point problem of a nonexpansive mapping in a Hilbert space. In this paper, based on Takahashi–Takahashi’s iterative method and well-known extragradient method we introduce a relaxed extragradient-like method for finding a common solution of a generalized mixed equilibrium problem, a general system of generalized equilibria and a fixed point problem of a strictly pseudocontractive mapping in a Hilbert space and then obtain a strong convergence theorem. Utilizing this theorem, we establish some new strong convergence results in fixed point problems, variational inequalities, mixed equilibrium problems and systems of generalized equilibria.  相似文献   

13.
14.
A straight-line planar drawing of a plane graph is called a convex drawing if every facial cycle is drawn as a convex polygon. Convex drawings of graphs is a well-established aesthetic in graph drawing, however not all planar graphs admit a convex drawing. Tutte [W.T. Tutte, Convex representations of graphs, Proc. of London Math. Soc. 10 (3) (1960) 304–320] showed that every triconnected plane graph admits a convex drawing for any given boundary drawn as a convex polygon. Thomassen [C. Thomassen, Plane representations of graphs, in: Progress in Graph Theory, Academic Press, 1984, pp. 43–69] gave a necessary and sufficient condition for a biconnected plane graph with a prescribed convex boundary to have a convex drawing.In this paper, we initiate a new notion of star-shaped drawing of a plane graph as a straight-line planar drawing such that each inner facial cycle is drawn as a star-shaped polygon, and the outer facial cycle is drawn as a convex polygon. A star-shaped drawing is a natural extension of a convex drawing, and a new aesthetic criteria for drawing planar graphs in a convex way as much as possible. We give a sufficient condition for a given set A of corners of a plane graph to admit a star-shaped drawing whose concave corners are given by the corners in A, and present a linear time algorithm for constructing such a star-shaped drawing.  相似文献   

15.
In this paper a committee decision-making process of a convex Lagrange decomposable multi-objective optimization problem, which has been decomposed into various subproblems, is studied. Each member of the committee controls only one subproblem and attempts to select the optimal solution of this subproblem most desirable to him, under the assumption that all the constraints of the total problem are satisfied. This procedure leads to a new solution concept of a Lagrange decomposable multi-objective optimization problem, called a preferred equilibrium set. A preferred equilibrium point of a problem, for a committee, may or may not be a Pareto optimal point of this problem. In some cases, a non-Pareto optimal preferred equilibrium point of a problem, for a committee, can be considered as a special type of Pareto optimal point of this problem. This fact leads to a generalization of the Pareto optimality concept in a problem.  相似文献   

16.
We prove that, in some situations, an induced action from a normal subgroup preserves a geometric structure. Combined with known geometric rigidity results, this result implies certain rigidity statements concerning the full diffeomorphism group of a manifold. It also provides many examples of actions on Lorentz manifolds. Combining these with a small number of well-known actions, we get the full list of connected, simply connected Lie groups admitting a locally faithful, orbit nonproper action by isometries of a connected Lorentz manifold. We give an example of a connected nilpotent Lie group with no complicated action on a Lorentz manifold. We show that, if a connected Lie group has a normal closed subgroup isomorphic to a (two-dimensional) cylinder, then it admits a locally faithful, orbit nonproper action by isometries of a connected Lorentz manifold.  相似文献   

17.
设M是超有限Ⅱ1型因子.D是M的Cartan子代数,T是对角为D的M 的σ-弱闭的子代数(简称Cartan双模代数)并且生成M.设φ是T到T上的σ-弱连续满线性等距,则Φ可扩张成从M到M上的等距.设φ是T到T上的映射(没假设线性),满足任给a,b∈T,T上存在σ-弱连续满线性等距φa,b(与n,b有关),使得φa,b(a)=φ(a),φa,b(b)=φ(b),则φ是线性等距.  相似文献   

18.
We establish a general slice theorem for the action of a locally convex Lie group on a locally convex manifold, which generalizes the classical slice theorem of Palais to infinite dimensions. We discuss two important settings under which the assumptions of this theorem are fulfilled. First, using Glöckner's inverse function theorem, we show that the linear action of a compact Lie group on a Fréchet space admits a slice. Second, using the Nash–Moser theorem, we establish a slice theorem for the tame action of a tame Fréchet Lie group on a tame Fréchet manifold. For this purpose, we develop the concept of a graded Riemannian metric, which allows the construction of a path-length metric compatible with the manifold topology and of a local addition. Finally, generalizing a classical result in finite dimensions, we prove that the existence of a slice implies that the decomposition of the manifold into orbit types of the group action is a stratification.  相似文献   

19.
Subgradient projectors play an important role in optimization and for solving convex feasibility problems. For every locally Lipschitz function, we can define a subgradient projector via generalized subgradients even if the function is not convex. The paper consists of three parts. In the first part, we study basic properties of subgradient projectors and give characterizations when a subgradient projector is a cutter, a local cutter, or a quasi-nonexpansive mapping. We present global and local convergence analyses of subgradent projectors. Many examples are provided to illustrate the theory. In the second part, we investigate the relationship between the subgradient projector of a prox-regular function and the subgradient projector of its Moreau envelope. We also characterize when a mapping is the subgradient projector of a convex function. In the third part, we focus on linearity properties of subgradient projectors. We show that, under appropriate conditions, a linear operator is a subgradient projector of a convex function if and only if it is a convex combination of the identity operator and a projection operator onto a subspace. In general, neither a convex combination nor a composition of subgradient projectors of convex functions is a subgradient projector of a convex function.  相似文献   

20.
讨论了线性度量空间中凸子集在什么情况下为该空间的收缩核,以及在什么情况下为绝对收缩核。  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号