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1.
一个新的Ky Fan匹配定理及其在L-凸度量空间中的应用 总被引:5,自引:0,他引:5
文开庭 《应用泛函分析学报》2008,10(4):305-312
建立了转移开覆盖的一个新的Ky Fan型匹配定理.作为应用,获得了Fan-Browder重合定理,不动点定理、极大元定理,相交定理和截口定理. 相似文献
2.
完备L-凸度量空间中的Ky Fan匹配定理及其对抽象经济的应用 总被引:5,自引:1,他引:4
在完备L-凸度量空间中建立了一个转移紧开覆盖的Ky Fan匹配定理.作为应用,获得了Fan-Browder重合定理和极大元定理.最后,研究了完备L-凸度量空间中抽象经济和定性对策的平衡存在定理. 相似文献
3.
L-凸度量空间中的GLKKM定理及其应用 总被引:14,自引:2,他引:12
文开庭 《应用泛函分析学报》2008,10(2):109-115
引进了L-凸度量空间的概念,在L-度量空间中建立了GLKKM映射的GLKKM定理.作为应用,获得了一个Browder不动点定理. 相似文献
4.
本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果.应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果.推广了已有的结果. 相似文献
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一类具时滞高阶Rayleigh方程的周期解的先验界性 总被引:3,自引:0,他引:3
本文首先建立了一类具时滞高阶Bayleigh方程的周期解的先验有界性.进而,借助这些有界性,并利用Mawhin连续定理获得了周期解的存在性定理. 相似文献
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本文引入了有界广义逆模映射的概念,并给出了等价刻画.然后利用它为工具获得了一类重要的有界模映射的因子分解定理,使得著名的Douglas分解定理成为其特例. 相似文献
9.
王凤雨 《数学年刊A辑(中文版)》1996,(2)
使用耦合方法,给出SO(n)上椭圆算子第一特征值的一个新下界(定理12),并由此获得格点Yan-Mills场的一个连历定理(定理1.3)最后,将此遍历定理应用于两个具体模型,改进了[2]中相应结果. 相似文献
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本文在非齐型空间上证明具有Dini核条件的T1定理,获得了加权Fefferman- Stein向量值极大不等式.进一步地,在非齐型空间上得到了加权Tiebel-Lizorkin空间的T1定理. 相似文献
11.
In this paper, we establish some equivalence relations between coincidence theorems and KKM-type theorems. We also obtain some new coincidence theorems and fixed point theorems. Applying the KKM-type theorems we obtain the existence theorems of generalized vector equilibrium problems. From these results, some existence theorems of generalized vector implicit variational inequality problems are established in this paper. 相似文献
12.
In this paper, we first prove some new selection and fixed point theorems in generalized convex spaces. Then, we establish some existence theorems of quasi-equilibrium and generalized quasi-equilibrium without the conditions of open fibers, by applying our selection and fixed point theorems. 相似文献
13.
概率度量空间与映象的不动点定理 总被引:1,自引:0,他引:1
概率度量空间的概念首先由Menger[7]提出,以后许多人对这一空间的理论和应用曾进行过某些讨论(见[1-9])。本文的目的是进一步研究这一空间中映象的不动点定理。在本文的§2中,我们得出了一些新型的不动点定理,这些结果改进和加强了引文[2,3,8]中某些主要结果。 相似文献
14.
Mohamed Jleli Vesna Čojbašić Rajić Bessem Samet Calogero Vetro 《Journal of Fixed Point Theory and Applications》2012,12(1-2):175-192
In this paper, we establish certain fixed point theorems in metric spaces with a partial ordering. Presented theorems extend and generalize several existing results in the literature. As application, we use the fixed point theorems obtained in this paper to study existence and uniqueness of solutions for fourth-order two-point boundary value problems for elastic beam equations. 相似文献
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In this paper, we presented new and important existence theorems of solution for quasi-equilibrium problems, and we show the uniqueness of its solution which is also a fixed point of some mapping. We also show that this unique solution can be obtained by Picard’s iteration method. We also get new minimax theorem, and existence theorems for common solution of fixed point and optimization problem on complete metric spaces. Our results are different from any existence theorems for quasi-equilibrium problems and minimax theorems in the literatures. 相似文献
16.
《复变函数与椭圆型方程》2012,57(3):259-269
In this paper we study the extension theorems for solutions of inhomogeneous Cauchy-Fueter system. In particular cases, we obtain the extension theorems for regular functions of several quaternionic variables. At the end of the paper we give some applications of these theorems. 相似文献
17.
研究了deSitter空间中具有常数量曲率的类空子流形,利用活动标架的方法,证明了这类子流形的某些刚性定理,推广了已有的一些结果. 相似文献
18.
本文研究了奇数维spin~c流形上的等边指标定理.用这些指标定理和一些复分析的讨论,得到了两个奇数维spin~c流形上的Atiyah-Hirzebruch类型消灭定理,结果推广了刘-王的消灭定理. 相似文献
19.
In this paper, we introduce several kinds of maximal pseudomonotonicity and establish existence theorems of maximal pseudomonotonicity.
From these results we establish the existence theorems of generalized vector equilibrium problems. We establish existence
theorems of generalized vector semi-infinite programming, as applications of generalized vector equilibrium problems.
This research was supported by the National Science Council of the Republic of China. 相似文献