W-空间上满足积分型收缩条件的映射族的公共不动点结果

引进了两个实函数类φ和ψ,考虑了在W-空间上满足两种不同积分型收缩条件的映射族,然后证明了映射族满足反交换性或具有交换点时拥有唯一公共不动点.同时,给出了若干特殊结果.所得结果推广和改进了很多Banach收缩原理的推广结果.     

局部凸空间中集值K映像的Schaefer定理

本文研究局部凸空间中集值K映像的有关问题,推广了关于赋范空间中单值连续映像的Schaefer定理。     

局部凸空间中集值K-映像的Rothe定理和Browder-Potter定理

本文推广了赋范空间中单值连续映像的Rothe定理和Browder-Potter定理到局部凸空间中集值K-映像的情形。     

W-空间上满足收缩型条件的映射族的唯一公共不动点

引进了3个实函数类Φ,Ψ及L并考虑了3个满足压缩型条件的映射族,利用W-空间上的映射族的反交换性或具有交换点条件得到了若干个映射族具有唯一公共不动点的定理,同时给出了它们的特殊结果,所得结果推广和改进了很多相应结论,     

度量空间中反交换映射的公共不动点

本文讨论了度量空间中映射在反交换条件下的公共不动点的存在性问题,给出了映射对在满足一定条件时公共不动点的存在性与唯一性结论.并指出了文献[5]中的几处错误.     

2-一致光滑空间中严格伪压缩映像的弱收敛定理

讨论了严格伪压缩映像的不动点问题.在2-一致光滑一致凸的Banach空间中,通过Mann迭代方法得到严格伪压缩映像的不动点的弱收敛结果.这个结果推广了目前的已知结果.     

严格拟伪压缩映像族的复合迭代算法

在Hilbert空间中设计了一种关于严格拟伪压缩映像族的复合迭代算法,并利用度量投影法证明了严格拟伪压缩映像族的公共不动点的强收敛定理,所得结果改进和推广了一些最新文献的相关结果.     

Lipschitz拟伪压缩映像族的收缩投影算法

在Hilbert空间中设计了一种关于Lipschitz拟伪压缩映像族的收缩投影算法,并利用所提出的算法证明了Lipschitz拟伪压缩映像族的公共不动点的强收敛定理,所得结果改进和推广了一些最新文献的相关结果.     

多值Bregman全拟渐近非扩张映像的强收敛性

建立了一种算法,用以寻求自反Banach空间中多值Bregman全拟渐近非扩张映像的有限族的公共不动点,改进和推广了以前的结果(算法是基于与一凸函数有关的Bregman距离).最后,把所得的结果应用于平衡系统问题,自反Banach空间中极大单调映像的零点问题.     

csf可数空间的注记

讨论csf可数空间的性质,把csf可数空间刻画为度量空间的映像,同时探讨了伪紧的csf可数空间的第一可数性质,推广了Arhangel’skiˇ?关于度量空间伪开s映像的结果,证明了正则伪紧的仿拓扑群是可度量化的当且仅当它是csf可数的Fr′echet空间.     

Common fixed points and invariant approximation of <Emphasis Type="Italic">R</Emphasis>-subweakly commuting maps in convex metric spaces

Sufficient conditions for the existence of a common fixed point of R-subweakly commuting mappings are established within the framework of a convex metric space. As applications, we obtain various results on the best approximation for this class of mappings generalizing the results known from the literature.     

Fixed points, selections and common fixed points for nonexpansive-type mappings

We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and Banach spaces for single and multivalued mappings satisfying conditions that generalize the concept of nonexpansivity. Besides, we use the fixed point theorems proved here to give common fixed point results for commuting mappings.     

Moufang loops with commuting inner mappings

We investigate the relation between the structure of a Moufang loop and its inner mapping group. Moufang loops of odd order with commuting inner mappings have nilpotency class at most 2. The 6-divisible Moufang loops with commuting inner mappings have nilpotency class at most 2. There is a Moufang loop of order 2¹⁴ with commuting inner mappings and of nilpotency class 3.     

拟共形映照和线性局部连通集

本文证明了Ｒｎ中线性局部连通集定义中的两个性质分别在保持无穷远点不变的拟共形映照下是不变的，并且指出保持无穷远点不变的条件是必不可少的．反过来，设ｆ是Ｒｎ上的同胚，ｆ（　）＝　，若线性局部连通集定义中的任意一条性质在ｆ下不变，则ｆ必是拟共形映照．     

度量空间中反交换映射的公共不动点

通过引入度量空间中的反交换映射，证明了一个公共不动点定理。这一结果不同于相关的献。     

Properties of Fixed Point Sets of Monotone Nonexpansive Mappings in Banach Spaces

In this work, we discuss the properties of the common fixed points set of a commuting family of monotone nonexpansive mappings. In particular, we show that under suitable assumptions, this set is a monotone nonexpansive retract.     

A common fixed point theorem for compatible quasi contractive self mappings in metric spaces

A common fixed point theorem for weakly commuting quasi contractive self mappings with contracting orbital diameters in metric spaces [V. Berinde, A common fixed point theorem for quasi contractive type mappings, Ann. Univ. Sci. Budapest. 46 (2003) 81-90] is extended to the more general class of compatible quasi contractive self mappings. Our result does extend and generalize numerous related results in literature.     

Kannan压缩映像的逆问题

称空间(X,d)上的自映像f为Kannan压缩映像,若对于,成立d(f(x),f(y))≤a{d(x,f(x))+d(y,f(y)}, 其中0<α<1/2。 Kannan压缩映像是Banach压缩映像的重要推广,特别在Banach压缩映像已被许多作者推广为形式多样的情况下(例如见[8],那里归纳出250个压缩映像定义),重要性尤其突出。本文通过对Kannan压缩映像逆问题的证明,把相当一部分形式不同的压缩映像统一归并为Kannan压缩映像。     

Common fixed point theorems in intuitionistic fuzzy metric spaces

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck’s common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant’s theorem ([21]).