This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.
证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0,1),即D是拟球,从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。
Period impulse function and Riemann lemma;
周期冲激函数与黎曼引理
Some properties of sub-normed linear spaces are discussed and by introducing the concept of a Q-space, analogues of the inverse operator theorem, the open mapping theorem and the closed graph theorem are established in sub-normed linear space setting.
研究了次范整线性空间的性质,引入Q空间的概念,将泛函分析学中的开映射定理、逆算子定理与闭图象定理推广到次范整线性空间之中。
The open mapping theorem and the closed gragh theorem for locally convex separated spaces are mainly researched in this thesis.
本文主要研究关于局部凸分离空间的开映射定理和闭图象定理。
The Generalization of Vector Variational Inequalities, Open Mapping Theorem and Conjugate Formulae;
向量变分不等式，开映射定理和共轭公式的推广
Open Mapping Theorem and Closed Graph Theorem for Q(Qr、Q(ζ)) Spaces;
关于Q（Qr、Q（ζ））空间上的开映射定理与闭图象定理
fixed point theorem for many-valued mapping
多值映射不动点定理
fixed point theorem for measure-preserving mapping
保测度映射不动点定理
Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings;
多值压缩映射与多值Caristi型映射的不动点定理
Decomposition Theorem of Complete Quasiconvex Mappings in Reinhardt Domains;
Reinhardt域上完全准凸映射的分解定理
New Fixed Point Theorems of Contraction Mappings in Banach Spaces;
Banach空间中压缩映射的新不动点定理
THE MOREAU-ROCKAFELLAR TYPE THEOREM FOR SET-VALUED FUNCTION;
关于集值映射的Moreau-Rockaffellar型定理
Fixed Point Theorems for Point-to-set Mappings in Linear Topological Space;
线性拓扑空间集值映射的不动点定理
The Decomposition Theorem of Complete Quasi-Convex Mapping in a Category of Reinhardt Domain
一类Reinhardt域上完全准凸映射的分解定理
Fixed Point Theorems of Nonexpansive Mappings in Hilbert Spaces
Hilbert空间中非扩张映射的不动点定理
On KKM Maps,KKM Type Theorems and Related Results
KKM映射和KKM型定理及其相关结果
Mapping Theorems on Submeocompact Spaces and Expansive Maps on Non-compact Metric Spaces;
关于submeso紧空间的映射定理和非紧度量空间上的可扩映射
Strong Convergence Theorems for Relatively Nonexpansive Mappings and Inverse-Strongly-Monotone Mappings in a Banach Space
Banach空间中关于相对非扩张映射和逆强单调映射的强收敛定理
Quotient mapping and quotient topology are very important contents of topology. In this paper we discussed systematically their basic properties and reported some results.
系统地讨论了商映射的性质和映射成为商映射的条件,得到了若干定理和推论.
EXISTENCE THEOREM OF ZORE AND COINCIDENCE THEOREM OF SET-VALUED MAP
集值映射的零点存在性定理与重合定理
Moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.
另外,我们还得一个一致局部扩张映射不动点定理与一个准扩张映射不动点定理。
ON RANDOM FIXED POINT INDEX AND RANDOM FIXED POINT THEOREMS OF SETVALUED MAPS
集值映射的随机不动点指数及随机不动点定理