TVS-值锥度量空间上四个映射的唯一公共不动点

在非完备的拓扑线性空间值锥度量空间上得到了新的满足某种Lipschitz型条件的四个映射的唯一公共不动点定理并给出了一些推论.所得结果推广和改进了文献中一些已知结论.     

TVS-值锥度量空间上拟-Lipschitz型映射族的公共不动点

在TVS-值锥度量空间上给出若干可数个满足拟-Lipschitz条件的满映射族的唯一公共不动点的存在性定理.主要结论推广和改进了文献中的一些相应结论.     

锥度量空间中扩张映射的公共不动点定理

在不要求映射的连续性和锥的正规性的条件下,我们得到扩张映射的几个公共不动点定理,所得结果改进和推广了原有的许多重要结论.     

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.     

G-锥度量空间中压缩映射的不动点定理

给出了G-锥度量空间的概念,利用迭代法探究了G-锥度量空间中压缩映射不动点定理,证明了在G-锥度量空间中锥没有正规性的条件下压缩映射存在唯一不动点.     

TVS-锥度量空间中扩张映射的公共不动点

在完备的TVS-锥度量空间中研究了经典的扩张型映射的公共不动点的存在性及唯一性,所得结果推广了一些已知的重要结论,将扩张映射公共不动点的研究从锥度量空间(Banach-锥)发展到TVS-锥度量空间.     

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.     

G-锥度量空间中的不动点定理

本文在G-锥度量空间中引入弱相容映射,得到G-锥度量空间在自映射压缩条件下的不动点定理和在弱相容自映射压缩条件下的公共不动点定理,并通过迭代法证明了这两个主要定理.     

锥度量空间中扩张映射的一个新的不动点定理

为了研究完备的锥度量空间中扩张型映象不动点的存在性和唯一性问题,对满足不同条件的扩张型映象,采用不同的迭代方法,得到了锥度量空间中扩张映射的一个新的不动点定理.这些结果是度量空间中某些经典结果在锥度量空间的进一步推广和发展.     

TVS-锥度量空间中扩张映射的不动点定理

在TVS-锥度量空间概念的基础上,建立了TVS-锥度量空间的若干理论,并运用这些理论,对满足不同条件的扩张型映射,采用不同的迭代方法,得到了TVS-锥度量空间中扩张映射新的不动点定理,结果是度量空间中某些经典结果在锥度量空间的进一步推广和发展.     

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.     

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.     

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 Points of Continuous Mappings on S-Metric Spaces

Mathematical Notes - The aim of this paper is to obtain some common fixed point results on an S-metric space. For this purpose, we prove new generalized common fixed point theorems using the...     

Some Remarks on Perov Type Mappings in Cone Metric Spaces

Let \(\left( E,C,t\right) \) be a real ordered topological vector space and let (X, d) be a tvs-cone metric space over cone C. Using Proposition 19.9 of Deimling (Nonlinear functional analysis, Springer, Berlin, 1985), we show that E can be equipped with a norm such that C is a normal monotone solid cone. Hence, a tvs-cone metric space \(\left( X,d\right) \) over a solid cone C is a normal cone metric space over the same cone C. This assures that tvs-cone metric spaces are not a genuine generalization of cone metric spaces introduced by Huang and Zhang, recently. Further, if the cone C is solid then we have only cone metric spaces over normal solid cone (with coefficient of normality \(K=1\)). Here, we introduce also the notion of Sehgal–Guseman–Perov type mappings and we establish a result of existence and uniqueness of fixed points for this class of mappings.     

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.