Common Fixed Points for Mappings with Quasi-Lipschitz Conditions on TVS-valued Cone Metric Spaces

A new unique common fixed point result for a pair of mappings satisfying certain quasi-Lipschitz type conditions on a topological vector space-valued cone metric space is obtained, and its particular forms and a more general form are given. Our main results generalize and improve some well-known recent results in the literature.     

锥度量空间上在$c$-距离下Lipschitz型映射的唯一公共不动点定理

在本文,给出了正规的锥度量空间上在$c$-距离下满足Lipschitz型条件的四个映射的唯一公共不动点定理.所得结果推广和改进了很多已知的公共不动点定理.     

Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces

In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and generalize some fixed point results in metric soaces and some previous results in cone metric spaces.     

度量凸空间中Lipschitz型非自映射族的唯一公共不动点

考察了完备的度量凸空间框架下满足具有变系数的Lipschitz条件的非自映射族并根据给定的边界条件和映射族构造了一个收敛序列[xn],然后证明了该序列的唯一极限正是映射族的唯一的公共不动点.最后给出了更广泛的结果.所得结果推广和改进了许多压缩型映射族的公共不动点定理.     

半序锥度量空间中新公共不动点定理(英文)

该文在半序锥度量空间中研究了有关三个映射的公共不动点的存在唯一性,不要求映射的连续性和交换性,也不要求锥的正规性,其结果改进并推广了文献中的一些重要结论.     

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。     

Unique Common Fixed Point for a Family of Mappings with a Nonlinear Quasi-Contractive Type Condition in Metrically Convex Spaces

A class Φ of 5-dimensional functions was introduced and an existence and uniqueness of common fixed points for a family of non-self mappings satisfying a φiquasi-contractive condition and a certain boundary condition was given on complete metrically convex metric spaces, and from which, more general unique common fixed point theorems were obtained. Our main results generalize and improve many same type common fixed point theorems in references.     

度量凸空间上非自映射族的唯一公共不动点定理

给出了若干个度量凸空间的闭子集上的非自映射族的公共不动点的存在性与唯一性.我们的主要结果对文献中的许多同类型的不动点定理进行了改进和一般化.     

Common Fixed Points for a Countable Family of Non-self Mappings in Cone Metric Spaces with the Convex Prop erty

A new common fixed point result for a countable family of non-self mappings defined on a closed subset of a cone metric space with the convex property is obtained, and from which, a more general result is given. Our main results improve and generalize many known common fixed point theorems.     

Common Fixed Point Theorems and Q-prop erty for Quasi-contractive Mappings under c-distance on TVS-valued Cone Metric Spaces without the Normality

Fixed point and common fixed point results for mappings satisfying quasi-contractive conditions expressed in the terms of c-distance on TVS-valued cone met-ric spaces (without the underlying cone which is not normal) are obtained, and P-property and Q-property for mappings in the terms of c-distance are discussed. Our results generalize and improve many known results.     

An Iteration Process for Nonlinear Mappings in Uniformly Convex Linear Metric Spaces

We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.     

映像组公共不动点的存在性与稳定性

本文建立乘积距离空间中集值与单值映像组的非线性压缩型公共不动点定理以及集值映像组公共不动点集的稳定性定理.     

凸度量空间中拟压缩映象具误差的Ishikawa型迭代序列的收敛性

对凸度量空间中非线性拟压缩映象具误差的Ishikawa型迭代序列的收敛性问题证明了几个新的收敛性定理,结果不仅改进和推广了L.B.Ciric,Q.H.Liu,H.E.Rhoades,H.K.Xu等人的相应结果,而且对Rhoades-Naimplally-Singh所提出的公开问题,在凸度量空间的框架下给出了肯定的答复.     

度量凸空间上拟收缩型映射族的唯一公共不动点

给出了完备度量凸度量空间上具有拟收缩条件的非自映射族的公共不动点的存在和唯一性定理,并根据该结果得到更一般形式的唯一公共不动点定理.该文的主要结果对文献中的许多同类型的不动点定理进行了改进和一般化.     

凸度量空间中单值和集值映象的公共不动点定理

§ 1.　Introduction　　Anecessaryandsufficientconditionandasufficientconditiontoensurethataset valuedmappingandasingle valuedmappinginacompletemetricspaceandacompleteconvexmetricspacehavingacommonfixedpointarerespectivelygivenin [1 ] .Meanwhilethemainresultsin[2 ]— [5]areimprovedandextendedin [1 ] .Inthispaper ,theexistenceatcommonfixedpointsoftwoset valuedmappingandasing valuedmappingwerestudied ,andthecorrespond ingresultsin [1 ]— [5]wereextendedandimproved .Let(X ,d)beanon emptymetricspa…     

具有对称的集合和完备度量空间上两个自映射的共同不动点

本文给出了具有对称的集合上两个自映射有唯一共同不动点的充要条件.同时,还给出了完备度量空间上两个自映射有共同唯一不动点的条件.     

锥度量空间中的不动点定理

本文首先在锥度量空间中引入了ψ序压缩算子这一概念,然后证明了几个ψ-序压缩算子的不动点存在性定理.     

实线性锥距离空间中带有锥W-距离的不动点定理

在实线性锥距离空间中给出锥、W-距离的概念及一些性质．由此在实线性锥距离空间中建立了压缩型和扩张型两类不动点定理,其中压缩条件和扩张条件中均含有锥W-距离．     

Generic Existence of Fixed Points for Set-Valued Mappings

We first consider a complete metric space of nonexpansive set-valued mappings acting on a closed convex subset of a Banach space with a nonempty interior, and show that a generic mapping in this space has a fixed point. We then establish analogous results for two complete metric spaces of set-valued mappings with convex graphs.