共查询到20条相似文献,搜索用时 31 毫秒
1.
Hiroyasu Izeki Takefumi Kondo Shin Nayatani 《Annals of Global Analysis and Geometry》2009,35(4):363-379
In this paper, using the generalized version of the theory of combinatorial harmonic maps, we give a criterion for a finitely
generated group Γ to have the fixed-point property for a certain class of Hadamard spaces, and prove a fixed-point theorem
for random-group actions on the same class of Hadamard spaces. We also study the existence of an equivariant energy-minimizing
map from a Γ-space to the limit space of a sequence of Hadamard spaces with the isometric actions of a finitely generated
group Γ. As an application, we present the existence of a constant which may be regarded as a Kazhdan constant for isometric
discrete-group actions on a family of Hadamard spaces.
相似文献
2.
Zhenxin Liu 《Journal of Differential Equations》2008,244(7):1603-1628
Conley index theory is a very powerful tool in the study of dynamical systems. In this paper, we generalize Conley index theory to discrete random dynamical systems. Our constructions are basically the random version of Franks and Richeson in [J. Franks, D. Richeson, Shift equivalence and the Conley index, Trans. Amer. Math. Soc. 352 (2000) 3305-3322] for maps, and the relations of isolated invariant sets between time-continuous random dynamical systems and corresponding time-h maps are discussed. Two examples are presented to illustrate results in this paper. 相似文献
3.
In this paper, we introduce the notion of distributional chaos and the measure of chaos for random dynamical systems generated by two interval maps. We give some sufficient conditions for a zero measure of chaos and examples of chaotic systems. We demonstrate that the chaoticity of the functions that generate a system does not, in general, affect the chaoticity of the system, i.e. a chaotic system can arise from two nonchaotic functions and vice versa. Finally, we show that distributional chaos for random dynamical system is, in some sense, unstable. 相似文献
4.
《随机分析与应用》2013,31(5):983-994
Abstract A random map is a discrete‐time dynamical system in which one of a number of transformations is randomly selected and applied in each iteration of the process. In this paper, we study random maps with position dependent probabilities on the interval. Sufficient conditions for the existence of absolutely continuous invariant measures for weakly convex and concave random maps with position dependent probabilities is the main result of this note. 相似文献
5.
M. Benchohra 《Applied Mathematics Letters》2002,15(8):55-924
The aim of this paper is to study the existence of solutions to some classes of impulsive neutral functional differential inclusions in Banach spaces. We shall make use of a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler. 相似文献
6.
Naseer Shahzad Nawab Hussain 《Journal of Mathematical Analysis and Applications》2006,323(2):1038-1046
Some deterministic and random coincidence theorems for f-nonexpansive maps are obtained. As applications, invariant approximation theorems are derived. Our results unify, extend and complement various known results existing in the literature. 相似文献
7.
In this paper we study the distribution of hitting times for a class of random dynamical systems. We prove that for invariant measures with super-polynomial decay of correlations hitting times to dynamically defined cylinders satisfy exponential distribution. Similar results are obtained for random expanding maps. We emphasize that what we establish is a quenched exponential law for hitting times. 相似文献
8.
Pawe? Góra 《Journal of Mathematical Analysis and Applications》2003,278(1):225-242
A random map is discrete-time dynamical system in which one of a number of transformations is randomly selected and applied at each iteration of the process. Usually the map τk is chosen from a finite collection of maps with constant probability pk. In this note we allow the pk's to be functions of position. In this case, the random map cannot be considered to be a skew product. The main result provides a sufficient condition for the existence of an absolutely continuous invariant measure for position dependent random maps on [0,1]. Geometrical and topological properties of sets of absolutely continuous invariant measures, attainable by means of position dependent random maps, are studied theoretically and numerically. 相似文献
9.
Çisem Bektur 《随机分析与应用》2013,31(4):600-608
In this article, we provide formulae for Lyapunov exponents of position dependent random maps of the interval. We then apply our results to a financial market model with short-lived assets. 相似文献
10.
We prove some existence and uniqueness results for a nonlinear stochastic integral equation using fixed-point theory methods to ensure the convergence of the successive approximations to the unique random solution. 相似文献
11.
《Mathematical and Computer Modelling》2002,35(3-4):385-391
Using a fixed-point theorem for compact approximable maps defined on an admissible convex subset of a topological vector space, we prove Leray-Schauder alternatives for compact or pseudo-condensing approximable maps. 相似文献
12.
This paper is mainly concerned with the existence of mild solutions for a first-order impulsive neutral integro-differential
equation with state-dependent delay. We assume that the undelayed part generates an analytic resolvent operator and transforms
it into an integral equation. By using a fixed-point theorem for condensing maps combined with theories of analytic resolvent
operators, we prove some existence theorems. As an application of these main theorems, some practical consequences are derived. 相似文献
13.
14.
A number of new fixed-point results are presented for S-KKM self maps. Also the notion of essentiality for S-KKM maps is introduced. 相似文献
15.
Xie Ping ding 《随机分析与应用》2013,31(3):383-394
In this paper, we study a class of random nonlinear variational inequalities in Banach spaces. By applying a random minimax inequahty obtained by Tarafdar and Yuan, some existence uniqueness theorems of random solutions for the random nonhnear variational inequalities are proved. Next, by applying the random auxiliary problem technique, we suggest an innovative iterative algorithm to compute the random approximate solutions of the random nonlinear variational inequahty. Finally, the convergence criteria is also discussed 相似文献
16.
《Applied Mathematics Letters》2001,14(7):831-836
In this note, we present fixed-point results for contractive maps in the sense of Bose and Mukherjee defined on complete gauge spaces. 相似文献
17.
18.
Carlos Hervés-Beloso Monica Patriche 《Journal of Optimization Theory and Applications》2014,163(3):719-736
The main purpose of this paper is to introduce the notion of weakly upper semicontinuous set-valued maps and to establish a new fixed-point theorem. The set-valued maps with an approximating upper semicontinuous selection property are also defined. Next, we use our fixed-point result to obtain equilibrium existence in abstract economies with two constraints, which provide a natural scenario for potential applications of our approach to general equilibrium theory. In this regard, we set models of economies with asymmetric informed agents, who are able to improve their initial information through market signals. These economies offer examples in which the informational feasibility requirement represents an additional constraint. 相似文献
19.
K. Wlodarczyk D. Klim E. Gontarek 《Proceedings of the American Mathematical Society》2000,128(12):3475-3482
Conditions guaranteeing the uniform convergence to constant maps of random iterations of holomorphic contractions on unbounded domains in complex Banach spaces are established.
20.
本文引入任意随机变量序列随机极限对数似然比概念,作为任意相依随机序列联合分布与其边缘乘积分布“不相似”性的一种度量,利用构造新的密度函数方法来建立几乎处处收敛的上鞅,在适当的条件下,给出了任意受控随机序列的一类随机偏差定理. 相似文献