度量空间上具有变系数的收缩条件的两个集值映射的公共不动点

在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.     

度量空间上满足拟收缩条件的两个集值映射的公共不动点

在完备的度量空间上利用满足具有某种变系数的拟收缩条件或φ-拟收缩条件的两个满的集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.     

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.     

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.     

拟度量空间上满足收缩条件的映射(族)的不动点和公共不动点

通过构造拟度量空间上的收敛序列,得到满足Lipschitz收缩条件的映射存在唯一不动点的定理和满足由收缩函数决定的收缩条件的映射族的重合点和公共不动点的存在定理以及一个映射的唯一不动点存在定理.     

锥度量空间上混合型膨胀映射族的唯一公共不动点

引进了一类混合型膨胀映射族,并在锥度量空间上证明了此类映射族具有唯一公共不动点的定理,同时给出了相应的不动点定理,推广和改进了文献中关于第I膨胀映射的相应的公共不动点和不动点定理.     

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.     

与一个压缩型映射部分交换的连续映射的不动点

研究度量空间上两个自映射f,g在部分交换条件下的公共不动点问题.Pan t等人用不等式条件去肯定f,g在等值点的值是f,g的公共不动点.探求条件,使得叠代产生的f,g的等值点列的极限为f,g的公共不动点更切合实际.定理2.1和定理2.3是这方面研究的两个结果,定理2.2拓展了Banach压缩映射原理.     

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.     

锥b-度量空间上映射的公共不动点定理

本文研究了锥b-度量空间上四个自映射的公共不动点问题.利用序列逼近的方法,获得了锥b-度量空间上四个自映射的一些公共不动点结果,将锥度量空间中的几个相关结果推广到锥b-度量空间中,并且给出了一个例子以支撑我们的结果.     

Berinde mappings in orbitally complete metric spaces

We give a fixed point theorem for a self-mapping satisfying a general contractive condition of integral type in orbitally complete metric spaces. Some examples are given to illustrate our obtained result.     

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.     

Fixed points of analytic self-mappings of Riemann surfaces

The existence of fixed points for an analytic self-mapping of a Riemann surface often permits strong conclusions about the mapping. For hyperbolic Riemann surfaces fixed point conditions that imply an analytic self-mapping is actually a conformal automorphism are given. For instance, an analytic self-mapping of a hyperbolic Riemann surface with two fixed points must be a conformal automorphism of finite order. On the other hand, for surfaces of finite genus estimates of the order of a conformal automorphism are obtained from fixed point information. For example, on a Riemann surface of genus g a conformal automorphism with 2g+3 fixed points is the identity.     

Existence of fixed points for mappings of finite sets

We show that the existence theorem for zeros of a vector field (fixed points of a mapping) holds in the case of a “convex” finite set X and a “continuous” vector field (a self-mapping) directed inwards into the convex hull co X of X. The main goal is to give correct definitions of the notions of “continuity” and “convexity”. We formalize both these notions using a reflexive and symmetric binary relation on X, i.e., using a proximity relation. Continuity (we shall say smoothness) is formulated with respect to any proximity relation, and an additional requirement on the proximity (we shall call it the acyclicity condition) transforms X into a “convex” set. If these two requirements are satisfied, then the vector field has a zero (i.e., a fixed point).     

局部凸空间非扩张型集值映射的不动点定理

本文讨论局部凸线性拓补空间非扩张型集值映射的不动点问题，并给出关于单值映射族具有公共不动点的结果。     

G-度量空间中两对非相容映象的几个新的公共不动点定理

在G-度量空间的框架下,利用自映象对的非相容性和(Ag)型R-弱交换性条件,在既不要求空间的完备性,也不要求映象连续的条件下,建立了一类?-压缩条件下的4个映象的几个新的公共不动点定理,此定理在很大程度上改进和发展了已有文献的相关结果.     

Some fixed point results without monotone property in partially ordered metric-like spaces

The purpose of this paper is to obtain the fixed point results for F-type contractions which satisfies a weaker condition than the monotonicity of self-mapping of a partially ordered metric-like space. A fixed point result for F-expansive mapping is also proved. Therefore, several well known results are generalized. Some examples are included which illustrate the results.     

[0,1]上带参数光滑自映射不动点的图论性质及其应用

设f:I×I是光滑的,f=f(x,y),I=[o,1],y为参数,本文证明f的不动点组成的图有连通分枝.作为应用,给出了二维Brouwer不动点定理的新证明.这是迄今为止最直接的证明.，The graph properties of the fixed points of a continuous self-mapping on unit closed interval with a parameter were studied. The existence of some kind of connected branch was shown. By this result, a new proof of two dimensional Brouwer's fixed point theorem was given.     

Points of Coincidence and Common Fixed Points for Ⅱ-Expansive Mappings on Complex Valued Metric Spaces

We use the two mappings satisfying Ⅱ-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings.Also,we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points.The obtained results generalize and improve the corresponding conclusions in references.