局部H—凸空间及其不动点定理

本文引入局部Ｎ—凸空间的概念，并得出局部Ｈ—凸空间上映象的两个不动点定理。它们包含著名的Ｓｃｈａｕｄｅｒ不动点定理和Ｂｒｏｗｄｅｒ不动点定理为特例。     

拓扑型截口定理及应用

本文给出一个新型ＫＫＭ定理，并用它得到拓型截口定理，在第四至第五节应用此截口定理给出了Ｂｒｏｗｄｅｒ－Ｈａｒｔｍａｎ－Ｓｔａｍｐａｃｃｈｉａ变分不等式，隐变分不待式，抽象形式变分不等式的解的存在性定理，和一个集值映射的不动点定理，其结果不仅包含了Ｂｒｏｗｄｅｒ（３）中的主要结果为特例，而且，改进和发展了引文（１－１９）中的相应结果。     

多值单调映象的Browder-Hartman-Stampacchia型变分不等式

在Ｂａｎａｃｈ空间中,证明了多值单调映象的Ｂｒｏｗｄｅｒ－Ｈａｒｔｍａｎ－Ｓｔａｍｐａｃｃｈｉａ型变分不等式解的存在性定理,统一并推广了「４,５,６,９」中的主要结果。     

一类变指数分数阶p(t)-Laplacian方程边值问题的可解性

应用Schaefer不动点定理,研究一类带p(t)-Laplacian算子的分数阶微分方程非共振边值问题解的存在性.     

类W-KKM(X,Y,Z),几乎不动点定理和不动点定理

引进了相对弱$R$-子集和类($W$-)KKM$(X,Y,Z)$的概念,给出了相对KKM映射与相对弱$R$-子集之间的等价关系以及$W$-KKM$(X,Y,Z)$的一个性质,然后给出了两个连续选择定理并得到不动点定理和重合点定理, 最后,在一致拓扑空间上得到具有弱-KKM性质的映射的几乎不动点,不动点和重合点的存在定理.     

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.     

一类新型混合单调算子的不动点定理及在工程科技中的应用

在两类半序空间,为了求解二元新型混合单调算子的不动点,采用了与以往大不相同的假设条件和迭代格式,获得多个不动点定理,并利用这些定理给出了在四类工程科技中的应用.     

多项式不动点的进一步研究

对文[1]中关于多项式不动点的主要定理进行了修正和发展,进而研究了多项式的广义(高阶)不动点,证明了对任意给定的n个点t_1≤t_2≤…≤t_n,存在唯一的首项系数为α∈R(α≠0)的n次多项式P(x)以它们为广义不动点.     

Banach空间中二阶非线性脉冲奇异微分方程多点无穷边值问题的正解

利用锥理论和M(o)nch不动点定理结合单调迭代技巧,研究了Banach空间中一类二阶非线性脉冲奇异微分方程多点无穷边值问题,获得了正解的存在性定理和正解的迭代序列,改进和推广了某些已知结果.     

Banach空间中多值映象的不动点定理

本文中我们首先证明了一个不动点定理，同时从压缩及弱内向两个方向推广了压缩弱内向映象的不动点定理［１，２］．在后两节中讨论了Ｂａｎａｃｈ空间中无界闭子集上的不动点定理，所得结果推广了［３，４］中相应定理．     

Viscosity Iteration in CAT(κ) Spaces

We study the approximation of fixed points of nonexpansive mappings in CAT(κ) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.     

Quantitative estimates for periodic points of reversible and symplectic holomorphic mappings

We show that reversible holomorphic mappings of have periodic points accumulating at an elliptic fixed point of general type. On the contrary, we also show the existence of holomorphic symplectic mappings that have no periodic points of certain periods in a sequence of deleted balls about an elliptic fixed point of general type. The radii of the balls are carefully chosen in terms of the periods, which allows us to show the existence of holomorphic mappi ngs of that are not reversible with respect to any involution with a holomorphic linear part, and that admit no invariant totally real and real surfaces. Received: 5 December 2000 / Published online: 4 April 2002     

Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type

We prove a common fixed point theorem of Gregus type for four mappings satisfying a contractive condition of integral type in metric spaces using the concept of weak compatibility which generalizes Theorem 2 of [A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc. 10 (2003) 369-378] and other papers. We prove also common fixed point theorems of Gregus type using a strict contractive condition of integral type, a property (E.A) and a common property (E.A) introduced by [M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188] and [W. Liu, J. Wu, Z. Li, Common fixed points of single-valued and multi-valued maps, Int. J. Math. Math. Sci. 19 (2005) 3045-3055], respectively.     

Coincidence and fixed points in symmetric spaces under strict contractions

Some common fixed point theorems due to Aamri and El Moutawakil [M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188] and Pant and Pant [R.P. Pant, V. Pant, Common fixed points under strict contractive conditions, J. Math. Anal. Appl. 248 (2000) 327-332] proved for strict contractive mappings in metric spaces are extended to symmetric (semi-metric) spaces under tight conditions. Some related results are derived besides discussing illustrative examples which establish the utility of results proved in this note.     

一类非紧减算子的不动点定理及其应用

本文研究了一类非紧减算子正不动点的存在唯一性和固有元的存在性及解集结构，并应用于无界区域非线性积分方程和Banach空间微分方程．     

Lauwerier映射的奇怪吸引子的遍历性及其结构

本又考虑Ｌａｕｗｅｒｉｅｒ映射Ｆａ,ｂ（ｘ,ｙ）＝（ｂｘ（１－２ｙ）＋ｙ,ａｙ（１－ｙ））．我们证明对于参数α在一个正测度集合中,对应的映射有非平凡的拓扑可迁的吸引子,其中是某个双曲不动点的不稳定集的闭包．周期点是双曲的且在中稠密,而且中任两个周期点异宿相关（稳定与不稳定集的横截相交）．同时也构造支撑在吸引子上的Ｓｉｎａｌ－Ｂｏｗｅｎ－Ｒｕｅｌｌｅ测度,并研究其性质．     

Convergence Theorems for Non-Self Mappings in CAT(0) Spaces

In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △? convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.     

A planar minimax alogrithm for analysis of coordinate measurements

We characterize the solution of the following problem and describe an algorithm for numerically solving it. Two sets ofN points in the plane, labeled 1,...,N, are given: a fixed set of nominal points and a set of measured points. We wish to transform the messured points as a whole, by translation and rotation, so that the maximal distance between corresponding points in the two sets is minimized. This algorthm provides an accept-reject criterion that may be used together with a coordinate measuring machine to determine if two mating parts will fit, or if a part is sufficiently close to its ideal measurements. A weighted version, suitable for point-dependent tolerances, is also discussed, as is optimal joint scalling of the data.     

Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory

We study a perturbed semilinear problem with Neumann boundary condition where is a bounded smooth domain of , , , if or if and is the unit outward normal at the boundary of . We show that for any fixed positive integer K any “suitable” critical point of the function generates a family of multiple interior spike solutions, whose local maximum points tend to as tends to zero. Received March 7, 1999 / Accepted October 1, 1999 / Published online April 6, 2000