论贷映射及其结构

本文论述了袋映射的缘起，给出了袋映射的对称函数列表示法，并在此基础上证明了Ｖａｌｕｅｆｕｎｃｔｉｏｎａｌ的袋映射可用一个一元函数和一个二元对称函数表达，从而进一步表明确了这类袋映射的构造。     

论袋映射及其结构

本文论述了袋映射的缘起，给出了袋映射的对称函数列表示法，并在此基础上证明了Ｖａｌｕｅｆｕｎｃｔｉｏｎａｌ的袋映射可用一个一元函数和一个二元对称函数来表达，从而进一步明确了这类袋映射的构造。     

FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS

ＦＡＴＯＵＰＲＯＰＥＲＴＹＯＮＨＡＲＭＯＮＩＣＭＡＰＳＦＲＯＭＣＯＭＰＬＥＴＥＭＡＮＩＦＯＬＤＳＷＩＴＨＮＯＮＮＥＧＡＴＩＶＥＣＵＲＶＡＴＵＲＥＡＴＩＮＦＩＮＩＴＹＩＮＴＯＣＯＮＶＥＸＢＡＬＬＳ￥ＹＡＮＧＹＩＨＵＡｂｓｔｒａｃｔ：Ｔｈｅａｕｔｈｏｒｃ...     

集值保通（CO）映射的上半连续性

本义讨论了集值映射是保通（ＣＯ）映射以及保通（ＣＯ）映射是上半连续映射的一些充分条件。     

RANDOM ITERAtION OF HOLOMORPHIC SELF-MAPS OVER BOUNDED DOMAINS IN C~N

ＲＡＮＤＯＭＩＴＥＲＡＴＩＯＮＯＦＨＯＬＯＭＯＲＰＨＩＣＳＥＬＦ－ＭＡＰＳＯＶＥＲＢＯＵＮＤＥＤＤＯＭＡＩＮＳＩＮＣ~Ｎ￥ＺＨＡＮＧＷＥＮＪＵＮ；ＲＥＮＦＵＹＡＯ（ＤｅｐａｒａｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｎａｌＵｎｉｖｅｒｓｉｔｙｔＫａ?..     

GIRSANOV＇S THEOREM ON ABSTRACT WIENER SPACES

ＴＨＥＰＥＲＴＵＲＢＡＴＩＯＮＴＨＥＯＲＹＦＯＲＴＨＥＳＵＭＭＡＢＩＬＩＴＹＯＦＳＥＬＦＡＤＪＯＩＮＴＯＰＥＲＡＴＯＲＳＣ．Ｗ．ＬＥＵＮＧＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＮｏｖｅｍｂｅｒ１４，１９９４．ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍ...     

与二阶多项式谱问题相联系的非等谱流,对称和李代数

与二阶多项式谱问题相联系的非等谱流，对称和李代数陈登远，曾云波（中国科学技术大学数学系，合肥２３００２７）ＮＯＮ－ＩＳＯＳＰＥＣＴＲＡＬＦＬＯＷＳ，ＳＹＭＭＥＴＲＩＥＳＡＮＤＬＩＥＡＬＧＥＢＲＡＡＳＳＯＣＩＡＴＥＤＷＩＴＨＴＨＥＳＥＣＯＮＤ－ＯＲＤＥ...     

带有热传导的波动方程组的无条件稳定二阶收敛的差分格式

带有热传导的波动方程组的无条件稳定二阶收敛的差分格式孙志忠（东南大学数学力学系）ＡＮＵＮＣＯＮＤＩＴＩＯＮＡＬＬＹＳＴＡＢＬＥＡＮＤＳＥＣＯＮＤ－ＯＲＤＥＲＣＯＮＶＥＲＧＥＮＴＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＦＯＲＴＨＥＳＹＳＴＥＭＯＦＷＡＶＥＥＱＵ...     

ON A PAIR OF NON-ISOMETRIC ISOSPECTRAL DOMAINS WITH FRACTAL BOUNDARIES AND THE WEYL-BERRY CONJECTURE

ＯＮＡＰＡＩＲＯＦＮＯＮＩＳＯＭＥＴＲＩＣＩＳＯＳＰＥＣＴＲＡＬＤＯＭＡＩＮＳＷＩＴＨＦＲＡＣＴＡＬＢＯＵＮＤＡＲＩＥＳＡＮＤＴＨＥＷＥＹＬＢＥＲＲＹＣＯＮＪＥＣＴＵＲＥＳＬＥＥＭＡＮ，Ｂ．Ｄ．ＣＨＥＮＨＵＡＭａｎｕｓｃｒｉｐｔｒｅｃ...     

BOOTSTRAP CRITICAL POINT FOR CIRCULAR MEAN DIRECTION AND ITS APPLICATIONS

ＢＯＯＴＳＴＲＡＰＣＲＩＴＩＣＡＬＰＯＩＮＴＦＯＲＣＩＲＣＵＬＡＲＭＥＡＮＤＩＲＥＣＴＩＯＮＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＳＷＵＣＨＡＯＢＩＡＯＡＮＤＤＥＮＧＷＥＩＣＡＩＡｂｓｔｒａｃｔ．Ｆｉｒｓｔｌｙ，ｔｈｉｓｐａｐｅｒｒｅｖｉｅｗｓＨａｌ’...     

A sufficient and necessary condition for an OWA bag mapping having the self-identity

A mapping ƒ : _n=1^∞Iⁿ → I is called a bag mapping having the self-identity if for every (x₁,…,x_n) ε _i=1^∞Iⁿ we have (1) ƒ(x₁,…,x_n) = ƒ(x_i1,…,x_in) for any arrangement (i₁,…,i_n) of {1,…,n}; monotonic; (3) ƒ(x₁,…,x_n, ƒ(x₁,…,x_n)) = ƒ(x₁,…,x_n). Let {ω_i,n : I = 1,…,n;n = 1,2,…} be a family of non-negative real numbers satisfying Σ_i=1ⁿω_i,n = 1 for every n. Then one calls the mapping ƒ : _i=1^∞Iⁿ → I defined as follows an OWA bag mapping: for every (x₁,…,x_n) ε _i=1^∞Iⁿ, ƒ(x₁,…,x_n) = Σ_i=1ⁿω_i,ny_i, where y_i is the it largest element in the set {x₁,…,x_n}. In this paper, we give a sufficient and necessary condition for an OWA bag mapping having the self-identity.     

半模糊凸模糊映射

In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity.     

Unique Common Fixed Points for Two Weakly C~*-contractive Mappings on Partially Ordered 2-metric Spaces

In this paper, we give existence theorems of common fixed points for two mappings with a weakly C?-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point.     

Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces

In this paper, we give a necessary and sufficient condition that a locally biholomorphic mapping f on the unit ball B in a complex Hilbert space X is a biholomorphic convex mapping, which improves some results of Hamada and Kohr and solves the problem which is posed by Graham and Kohr. From this, we derive some sufficient conditions for biholomorphic convex mapping. We also introduce a linear operator in purpose to construct some concrete examples of biholomorphic convex mappings on B in Hilbert spaces. Moreover, we give some examples of biholomorphic convex mappings on B in Hilbert spaces.     

The Linear Topological Quasiconformality Coefficient and Sufficient Conditions for the Branch Points of Mappings

We define a topological quasiconformality coefficient that catches the branch points of mappings with bounded distortion. We give sufficient conditions for the branch points of mappings and for the injectivity of mappings in a domain.     

Starlike and convex rational mappings on infinite dimensional domains

We give starlike criteria for a class of rational mappings on the open unit ball of a complex Banach space. We also give a sufficient condition for these mappings to be convex when they are defined in Hilbert spaces. These criteria facilitate the construction of concrete examples of starlike and convex mappings on infinite dimensional domains (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

The James constant, the Jordan-von Neumann constant, weak orthogonality, and fixed points for multivalued mappings

We give some sufficient conditions for the Domínguez-Lorenzo condition in terms of the James constant, the Jordan-von Neumann constant, and the coefficient of weak orthogonality. As a consequence, we obtain fixed point theorems for multivalued nonexpansive mappings.     

度量空间上具有变系数的收缩条件的两个集值映射的公共不动点

在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.     

A sufficient condition for nonrigidity of Carnot groups

In this article we consider contact mappings on Carnot groups. Namely, we are interested in those mappings whose differential preserves the horizontal space, defined by the first stratum of the natural stratification of the Lie algebra of a Carnot group. We give a sufficient condition for a Carnot group G to admit an infinite dimensional space of contact mappings, that is, for G to be nonrigid. A generalization of Kirillov’s Lemma is also given. Moreover, we construct a new example of nonrigid Carnot group. This research was partly supported by the Swiss National Science Foundation. The author would like to thank H. M. Reimann for the helpful advices and the constant support.