Hadzic不动点定理的改进

本文给出Ｍｅｎｇｅｒ空间上多值压缩型映象的一个新的不动点定理，它是Ｈｅｄｚｉｃ不动点定理在某种意义下的改进。利用它，我们得到了度量空间上多值映象的一个不动点定理，统一并推广了文［６－１０］的某些重要结果。     

Banach空间中多类1-集-压缩映象的逼近定理和不动点定理

本文证明了 Ｋｙ Ｆａｎ定理［１］对定义在 Ｂａｎａｃｈ空间中含有内点的有界闭凸子集上的１－集－压缩映象正确．１－集－压缩映象类包含凝聚映象、非扩张映象、半压缩映象、局部几乎非扩张映象和其它映象．作为定理的应用,得到了一些非自映象在许多众知边界条件下的不动点定理,改进和推广了许多作者的最近结果．     

1－集压缩映射的非零不动点

本文给出了１－集压缩映射的一些新的非零不动点定理，它推广和改进了［１，２，４，５］中的某些重要定理．     

一类压缩条件下连续自映射的不动点

本文引入了比文［4］中压缩条件更为一般的压缩条件，同时，还给出了完备度量空间中连续自映射满足压缩条件时的不动点存在性定理．     

转移开、闭集值映象和H－KKM定理的推广及应用

本文中，我们引入转移开、闭集值映象的概念，推广了Ｈ－空间中的ＫＫＭ定理￣［４］．然后用所得的结果证明了几个重合定理、匹配定理和向量值极大极小不等式。这些结论推广了近期文献［１，２，４，５，６，７］中的相应结果。     

集值映射的拟一致收敛

本文中，在拟一致空间中引入强局部对称性的概念，并讨论集值映射的拟一致收敛性．本文推广了［５］中的一些结果，同时用反例否定了［３］和［４］中的主要定理     

随机1－集压缩算子的随机不动点指数和随机不动点定理

在［１］中我们建立了随机拓扑度并得到系列新的随机不动点定理，本文建立了随机１－集压缩算子的随机不动点指数理论，得到一些新的随机不动点定理，为研究各类随机方程提供一些存在性原理，给出了在随机Ｈａｍｍｅｒｓｔｅｉｎ积分方程的应用．     

Banach空间上集值映射的不动点

本文推广了Ｂａｒｂｏ［１］中的工作和Ｓａｄｏｖｓｋｉｉ中［２］中的工作，得到了Ｂａｎａｃｈ空间上集值映射的不动点定理。     

局部凸拓扑向量空间中的不动点定理

本文在局部凸拓扑向量空间中得到了几个新的不动点定理，推广了［２］中的几个重要结果．     

CARISTI型Fuzzy混合不动点定理

本文提出ｆｕｚｚｙ混合不动点的概念，给出两个ｆｕｚｙ混合不动点定理和两个ｆｕｚｙ映象序列的公共ｆｕｚｚｙ混合不动点定理．本文的结果改进和推广了Ｃａｒｉｓｔｉ不动点定理及其近期的重要推广     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.