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1.
在G-凸空间中证明了一些新的KKM型定理.作为应用,在G-凸空间中得到了一些新的匹配定理和截口定理,所得结果改进和推广了[2,3,7]中的相关结果.  相似文献   

2.
具无限时滞的非自治捕食者-食饵系统的持久性   总被引:16,自引:0,他引:16  
王克 《数学学报》1997,40(3):321-332
本文采用新的方法研究了具无限时滞的非自治、非卷积的捕食者-食饵系统的持久性问题,得到了新的、有趣的结果。本文的结果包含已知的结果作为特例.  相似文献   

3.
广义非线性变分包含的带误差的近似点算法   总被引:2,自引:0,他引:2  
金茂明 《数学杂志》2005,25(3):269-274
引入和研究了一类新的广义非线性变分包含.在Hilbert空间中利用与极大η-单调映象相联系的预解算子的性质,对新的广义非线性变分包含建立了一个新的寻求近似解的带误差的近似点算法,并证明了求近似解序列强收敛于精确解.其所得结果是近期相关结果的改进和推广.  相似文献   

4.
利用Liapunov函数法,得到了一个新的、证明某些四阶非线性时滞微分方程零解渐近稳定的结果.建立结果的限制性条件弱于其他文献给出的的方法.  相似文献   

5.
替换环上模的可比较性与s-可比较性   总被引:1,自引:0,他引:1  
陈焕艮  李福安 《数学学报》2002,45(1):105-108
本文讨论替换环上的可比较性结构, 给出一类新的满足可比较性的替换环, 推广了Goodearl K. R.和陈焕艮的相应结果.  相似文献   

6.
倪仁兴最近的文章研究了广义最速下降法强收敛于拟增生算子方程解的一特征条件.本文对此进行了修正和改进,给出了一个新的特征条件.所得结果同时改进和推广了一些已有的结果.  相似文献   

7.
本文得到FKKM-型定理的几个新的推广定理,并将所得结果应用于研究重合点问题.文中的结果统一和包含了一些作者的最新成果.  相似文献   

8.
本文在很弱的条件下得到了关于无约束最优化的Polak—Ribiere和Hestenes-Stiefel共轭梯度法的全局收敛性的新结果,这里 PR方法和HS方法中的参数β_k~(PR)和β_k~HS可以在某个负的区域内取值,这一负的区域与k有关.这些新的收敛性结果改进了文献中已有的结果.数值检验的结果表明了本文中新的 PR方法和 HS方法是相当有效的.  相似文献   

9.
矩阵分裂序列与线性二级迭代法   总被引:2,自引:2,他引:0  
蔡放  熊岳山 《计算数学》2006,28(2):113-120
本文讨论线性非定常二级迭代法的收敛性.对于一般的基于矩阵分裂序列的迭代法,针对分裂序列本身找到了一种新的且相对较弱的收敛性条件,并因此得到了由非定常二级迭代法推广而来的广义二级迭代法的收敛结果.从而,用一种新的方法证明了非定常二级迭代法的收敛性.  相似文献   

10.
莫荣华  黎稳 《应用数学学报》2006,29(6):1033-1038
本文研究了Hermite矩阵特征值的任意扰动,给出了新的绝对和相对扰动界.所给出的界改进了Hoffman-Wielandt和Kahan早期的结果.  相似文献   

11.
关于弱MCP空间与弱层空间   总被引:1,自引:0,他引:1  
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间.本文主要讨论了这两空间类的等价命题与一些基本性质,及它们与原有空间类的关系.  相似文献   

12.
In this paper, we introduce some new function spaces of Sobolev type on metric measure spaces. These new function spaces are defined by variants of Poincaré inequalities associated with generalized approximations of the identity, and they generalize the classical Sobolev spaces on Euclidean spaces. We then obtain two characterizations of these new Sobolev spaces including the characterization in terms of a variant of local sharp maximal functions associated with generalized approximations of the identity. For the well-known Hajłasz–Sobolev spaces on metric measure spaces, we also establish some new characterizations related to generalized approximations of the identity. Finally, we clarify the relations between the Sobolev-type spaces introduced in this paper and the Hajłasz–Sobolev spaces on metric measure spaces.  相似文献   

13.
We describe a new family of discrete spaces suitable for use with mixed methods on certain quadrilateral and hexahedral meshes. The new spaces are natural in the sense of differential geometry, so all the usual mixed method theory, including the hybrid formulation, carries over to these new elements with proofs unchanged. Because transforming general quadrilaterals into squares introduces nonlinearity and because mixed methods involve the divergence operator, the new spaces are more complicated than either the corresponding Raviart-Thomas spaces for rectangles or corresponding finite element spaces for quadrilaterals. The new spaces are also limited to meshes obtained from a rectangular mesh through the application of a single global bilinear transformation. Despite this limitation, the new elements may be useful in certain topologically regular problems, where initially rectangular grids are deformed to match features of the physical region. They also illustrate the difficulties introduced into the theory of mixed methods by nonlinear transformations.  相似文献   

14.
In this paper, new classes of functions are defined. These spaces generalize Lorentz spaces and give a refinement of Lebesgue spaces, weak-Lebesgue spaces, and Morrey spaces. Some embeddings between these new classes are also proved.  相似文献   

15.
A new maximal funtion is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic Hp spaces. This work is supported by NSF.  相似文献   

16.
In [4], Freese and Murphy introduce a new class of spaces, the V-spaces, which include Banach spaces, hyperbolic spaces, and other metric spaces. In this class of spaces they investigate conditions which are equivalent to strict convexity in Banach spaces, and extend some of the Banach space results to this new class of spaces. It is natural to ask if known characterizations of real inner product spaces among Banach spaces can also be extended to this larger class of spaces. In the present paper it will be shown that a metrization of an angle bisector property used in [3] to characterize real inner product spaces among Banach spaces also characterizes real inner product spaces among V-spaces, and among another class of spaces, the L-spaces, which include hyperbolic spaces and strictly convex Banach spaces. In the process it is shown that in a complete, convex, externally convex metric space M, if the foot of a point on a metric line is unique, then M satisfies the monotone property, thus answering a question raised in [4].  相似文献   

17.
In 1989, Das and Patel considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel’s results.  相似文献   

18.
给出了-些从仿紧拓扑空间到FC-空间的新的连续选择;也给出了-些从仿紧拓扑空间到局部FC-一致空间的新的邻近选择.这些结果改进且推广了-些近来的结论.  相似文献   

19.
In this paper,a new GLKKM theorem in L-convex spaces is established.As applications,a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces.Finally,equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.  相似文献   

20.
次线性算子在Herz-Morrey空间上的有界性   总被引:1,自引:0,他引:1  
引进了一类被称为Herz-Morrey空间的函数空间,并给出了关于次线性算子在较弱的局部尺寸条件下在这类空间上有界性的一些一般性的结果.  相似文献   

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