共查询到20条相似文献,搜索用时 93 毫秒
1.
截断型亚纯映射的唯一性定理涉及到小映射的情形 总被引:1,自引:0,他引:1
唯一性定理是多复变值分布中重要的定理之一,本文在已有的研究成果上,运用Thai最新得到的第二基本定理,给出了多复变中截断型亚纯映射新的唯一性定理涉及到小映射情形. 相似文献
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首先给出了C~n中单位多圆柱D~n上准凸映射f关于Jacobin矩阵J_f(z)的偏差定理.该定理是单位圆盘凸函数的偏差定理在多复变中的推广.其次得到了Banach空间单位球上准凸映射的偏差定理的上界.最后给出了关于准凸映射偏差定理的两个猜想. 相似文献
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本文首先证明了一个新的从C~n到P~N(C)的亚纯映射第二基本定理,其中涉及到带有不同权重的截断型计算函数;其次利用这个新的第二基本定理,考虑了退化的亚纯映射在分担处于一般位置的移动超平面下的唯一性问题,并在较弱的条件下获得了一个唯一性结果,改进了已有的一些经典结果. 相似文献
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FC-空间上的鞍点定理及应用 总被引:1,自引:0,他引:1
在不具有任何凸性结构和线性结构的有限连续空间(简称FC-空间)中给出了一个鞍点定理.并应用此定理,在很弱的条件下证明了一些非空交定理及截口定理,推广了近期文献中的一些相关的结果. 相似文献
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Giuseppina Barbieri 《Czechoslovak Mathematical Journal》2009,59(3):707-719
We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation
of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodym
theorems and range theorems to this setting. 相似文献
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一、三角恒等式的机械化证明我们知道,适当选取模型,双曲几何、椭圆几何中的定理证明几乎可以全部化为三角函数与双曲函数的运算。即使在欧氏平面几何中,三角函数的应用有时也会使证明大大简化。但三角函数的运算往往是既繁琐又要很高的技巧,特别是当涉及的几何问题复杂时手算几乎是不可能的。吴文俊在文献[4,6]中指出,可以利用三角函数满足的代数关系及 Ritt-吴文俊原理机械化地证明三角函数公式。本文将给出更直接的方法,并用之于几何定理的证明。当定理涉及角度及方向时,该方法特别有效。 相似文献
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Lai-Jiu Lin Chih-Sheng Chuang 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(11):4063-4073
In this paper, we study the systems of nonempty intersection theorems. By the systems of nonempty intersection theorems, we can study the existence theorem of systems of quasi-KKM problems, the existence theorems of systems of quasi-variational inclusions problems, the existence theorems of systems of quasi-variational disclusions problems, and fixed point theorem. We also establish some of their equivalent relations. 相似文献
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朱才菊 《数学的实践与认识》2014,(17)
在FC-空间中建立了一个不动点定理,推广了近期文献的一个相关结论利用这个结果,我们建立了一些广义型定理,推广了著名的截口定理到FC-空间中借助这个截口定理,在FC-空间得到一些新的广义向量均衡问题解的存在性定理. 相似文献
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References: 《高校应用数学学报(英文版)》2007,22(3):353-365
A local convergence theorem and five semi-local convergence theorems of the secant method are listed in this paper.For every convergence theorem,a convergence ball is respectively introduced,where the hypothesis conditions of the corresponding theorem can be satisfied.Since all of these convergence balls have the same center x~*,they can be viewed as a homocentric ball. Convergence theorems are sorted by the different sizes of various radii of this homocentric ball, and the sorted sequence represents the degree of weakness on the conditions of convergence theorems. 相似文献
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In this paper, we first establish an existence theorem related with intersection theorem, maximal element theorem and common
fixed point theorem for multivalued maps by applying an abstract maximal element principle proved by Lin and Du. Some new
stationary point theorems, minimization problems, new fixed point theorems and a system of nonconvex equilibrium theorem are
also given. 相似文献
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Xie Ping Ding 《Journal of Global Optimization》2007,38(3):367-385
This paper is a continuum of the preceding paper of author. By applying a coincidence theorem in noncompact FC-space without
any convexity structure due to author, a new KKM type theorem is first proved under noncompact setting of FC-spaces. The equivalent
relation between the coincidence theorem and the KKM type theorem is also established. As applications of the KKM type theorem,
we establish some new existence theorems of solutions for three classes of generalized vector equilibrium problems under noncompact
setting of FC-spaces. These theorems improve and generalize many known results in literature. 相似文献
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Hans Weber 《Czechoslovak Mathematical Journal》2002,52(1):55-74
We prove an extension theorem for modular functions on arbitrary lattices and an extension theorem for measures on orthomodular lattices. The first is used to obtain a representation of modular vector-valued functions defined on complemented lattices by measures on Boolean algebras. With the aid of this representation theorem we transfer control measure theorems, Vitali-Hahn-Saks and Nikodým theorems and the Liapunoff theorem about the range of measures to the setting of modular functions on complemented lattices. 相似文献
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Vlastimil Pták 《manuscripta mathematica》1974,13(2):109-130
The author proves a theorem about systems of sets which generalizes the closed graph theorem. To illustrate its application proofs, are given of several generalizations of the closed graph theorem, of selection theorems, a transitivity theorem for C...-algebras and factorization theorems in Banach algebras. 相似文献