共查询到20条相似文献,搜索用时 15 毫秒
1.
A symplectic reduction method for symplectic G-spaces is given in this paper without using the existence of momentum mappings. By a method similar to the above one, the arthors give a symplectic reduction method for the Poisson action of Poisson Lie groups on symplectic manifolds, also without using the existence of momentum mappings. The symplectic reduction method for momentum mappings is thus a special case of the above results. 相似文献
2.
A symplectic reduction method for symplectic G-spaces is given in this paper without usingthe existence of momentum mappings.By a method similar to the above one,the arthorsgive a symplectic reduction method for the Poisson action of Poisson Lie groups on symplecticmanifolds,also without using the existence of momentum mappings.The symplectic reductionmethod for momentum mappings is thus a special case of the above results. 相似文献
3.
局部FC-一致空间内凝聚映象的极大元和广义对策及应用(Ⅰ) 总被引:2,自引:2,他引:0
首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念.在局部FC-一致空间内对涉及凝聚集值映象的集值映象族证明了新的极大元存在性定理.作为应用,在局部FC-一致空间内对涉及凝聚集值映象的广义对策建立了某些新的平衡存在性定理.这些结果改进和推广了文献中的某些已知结果到局部FC-一致空间.对广义矢量拟平衡组的进一步应用,我们将在文(Ⅱ)中给出. 相似文献
4.
In this paper, we establish the equivalence between the existence of zeros for set-valued mappings and the solvability of variational inequality, under some conditions involving the generalized projection operator. Basing on this result, we obtain some existence theorems of zeros for quasimonotone set-valued mappings. As application, we derive several fixed point theorems for generalized inward mappings in Hilbert spaces. 相似文献
5.
A. V. Arutyunov S. E. Zhukovskiy 《Proceedings of the Steklov Institute of Mathematics》2010,271(1):12-22
Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and the existence of a continuous
right inverse are considered for these mappings under various assumptions of smoothness. Several regularity conditions that
guarantee the local covering property and the existence of a continuous right inverse are presented. 相似文献
6.
In this paper, we introduce the concept of approximate solutions for set-valued mappings and provide a sufficient condition
for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued
mappings.
Revised version received November 1997 相似文献
7.
Naoki Shioji Tomonari Suzuki Wataru Takahashi 《Proceedings of the American Mathematical Society》1998,126(10):3117-3124
In this paper, we first study the relationship between weakly contractive mappings and weakly Kannan mappings. Further, we discuss characterizations of metric completeness which are connected with the existence of fixed points for mappings. Especially, we show that a metric space is complete if it has the fixed point property for Kannan mappings.
8.
In this paper, we introduce a class of Suzuki-type contractive multivalued mappings and establish the existence of fixed points of such mappings in the setup of b-metric spaces. Some examples are presented to support the results proved herein. An estimate of Hausdorff distance between the fixed point sets of two Suzuki-type contractive multivalued mappings is obtained. As an application of results thus obtained, existence and uniqueness of periodic solution of delay differential equations are shown. 相似文献
9.
The main purpose of this paper is to prove a collection of new fixed point theorems for so-called weakly F-contractive mappings. By analogy, we introduce also a class of strongly F-expansive mappings and we prove fixed point theorems for such mappings. We provide a few examples, which illustrate these results and, as an application, we prove an existence and uniqueness theorem for the generalized Fredholm integral equation of the second kind. Finally, in Appendix A, we apply the Mönch fixed point theorem to prove two results on the existence of approximate fixed points of some continuous mappings. 相似文献
10.
In this paper, we introduce a new concept of hybrid multivalued mappings in Hilbert spaces. We then prove some properties and the existence of fixed points of these mappings. Further, we prove weak and strong convergence theorems for a finite family of hybrid multivalued mappings. 相似文献
11.
设E是一实的p一致凸Banach空间.利用渐近中心,E中范数不等式和逐次逼近的思想,本文证明了E中非Lipschitz映象的连续半群的不动点存在的定理.该定理本质上把Lipschitz半群的不动点存在性的研究推广到了非Lipschitz映象的连续半群的情况.另一方面,应用该定理,还得到了非Lipschitz映象的渐近非扩张型半群的渐近行为方面的一些结果. 相似文献
12.
The first part of Section 1 contains two theorems concerning the existence of positive eigenvalues and corresponding eigenvectors for multivalued and not necessarily compact mappings. Theorem 1 contains as special cases the Birkhoff-Kellogg and Krasnoselskii theorems for single-valued compact mappings while Theorem 2 includes a single-valued result of Reich and some results of Schaefer concerning the existence of positive eigenvalues. The second part of Section 1 contains Theorem 3, which extends another result of Schaefer for positive compact mappings to positive eigenvalue problems involving not necessarily compact mappings. In Section 2 our Theorem 1 is applied to positive eigenvalue problems involving quasilinear ordinary integro-differential operators, quasilinear elliptic operators, and nonlinear ordinary differential operators. 相似文献
13.
本文对于取值在Banach空间的几乎下半连续映射引入两个相关的下半连续闭凸集值映射,得到集值映射的连续选择存在性的若干特征,从而将 Deutsch E,和Kenderov P,De Blast F.S.和 Myjak J,Przeslawski K.和 Rybinski L E,Gutev V.等人以及作者自己的关于连续选择存在性的结果作为推论给出.并用这些结论讨论了在开映射定理不成立的。情况下从Banach空间到赋范空间上线性连续算子的齐性右逆存在问题. 相似文献
14.
Estela Ana Gavosto 《Journal of Geometric Analysis》1998,8(3):433-440
We prove the existence of infinitely many attracting basins for some holomorphic mappings in ℙ2. We also show that if a family of mappings has a complex generic homoclinic tangency, then some of the mappings in the family
have an attractive periodic fixed point. 相似文献
15.
本文讨论了集值映射的Nash平衡点的存在及平衡点集的通有稳定性,得到大多数的集值映射的Nash平衡点集是稳定的。 相似文献
16.
A. V. Arutyunov B. D. Gel’man 《Computational Mathematics and Mathematical Physics》2009,49(7):1111-1118
The existence of minimizers is examined for a function defined on a metric space. Theorems are proved that assert the existence of minimizers, and examples of the functions for which these theorems are valid are given. Then, these theorems are applied to proving theorems on fixed points of univalent and multivalued mappings of metric spaces. Finally, coincident points of two mappings are examined. 相似文献
17.
本文建立了角域内的K-拟亚纯映射的一个基本不等式,并应用它证实了K-拟亚纯映射的Nevanlinna方向与T方向的存在性. 相似文献
18.
Y. Chiang 《Journal of Global Optimization》2010,46(3):465-473
In this paper, we derive an existence result for generalized variational inequalities associated with multivalued mappings
on weakly compact sets under a continuity assumption which is much weaker than the regular complete continuity. As an application,
we prove the existence of exceptional families of elements for such mappings on closed convex cones in reflexive Banach spaces
when the corresponding complementarity problems have no solutions. 相似文献
19.
20.
Bessem Samet 《Journal of Optimization Theory and Applications》2013,159(1):281-291
We study the existence and uniqueness of best proximity points for two classes of non-self-contractive mappings: almost (φ,θ)-contractive mappings and Meir–Keeler-type contractive mappings. 相似文献