共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper,we discuss the continuities of some natural mappings on pointcompact continuous set-valued mapping spaces with compact-open topology and obtain the properties of set-valued injective mappings,set-valued diagonal mappings,induced mappings,set-valued evaluation mappings,set-valued topological sum mappings and set-valued topological product mappings. 相似文献
2.
A. L. Brown 《Set-Valued Analysis》1997,5(3):195-208
Previous investigations of, in particular, continuous selections have led to the definition of the derived mappings and, here, the order of a set-valued mapping between topological spaces. The relation between the topological spaces and the possible orders of set-valued mappings between them is considered and examples are constructed to show that each ordinal number is the order of some set-valued mapping. 相似文献
3.
《Optimization》2012,61(10):1571-1577
ABSTRACTIn this paper, the concept of weak convex set-valued mapping is introduced and various conditions for a set-valued mapping to be weak convex are given. Then, existence theorems for the Stampacchia variational inequality problem are established, when the involved mapping is weak convex. 相似文献
4.
Alexander D. Ioffe 《Set-Valued Analysis》2001,9(1-2):101-109
We introduce a measure of closeness for set-valued mappings from a metric space to a Banach space which allows to quantatively estimate the effect of perturbation of a set-valued mapping on its metric regularity and covering characteristics. 相似文献
5.
6.
本文引进集值映射的全局真有效次微分的概念,并用它得到了约束集值优化问题全局真有效解在集值映射的支撑函数和Lagrange乘子形式下的最优性必要条件. 相似文献
7.
Formal concept analysis (FCA) is a discipline that studied the hierarchical structares induced by a binary relation between a pair of sets,and applies in data analysis,information retrieval,knowledge discovery,etc.In this paper,it is shown that a formal context T is equivalent to a set-valued mapping S :G →P(M),and formal concepts could be defined in the set-valued mapping S.It is known that the topology and set-valued mapping are linked.Hence,the advantage of this paper is that the conclusion make us to construct formal concept lattice based on the topology. 相似文献
8.
引入了一类新的有限连续空间(简称, $FC$-空间),并在$FC$-空间中证明了一些新的涉及容许类集值映射和具有紧局部交性质的KKM型定理和重合点定理.作为应用,在$FC$-空间中得到了一些新的不动点定理.这些结果统一和推广了近期文献在抽象凸空间中的一些重要结果. 相似文献
9.
We first consider a complete metric space of nonexpansive set-valued mappings acting on a closed convex subset of a Banach space with a nonempty interior, and show that a generic mapping in this space has a fixed point. We then establish analogous results for two complete metric spaces of set-valued mappings with convex graphs. 相似文献
10.
1 IntroductionIt is well known that the most linportant task of nonsmooth is to extend the classicaIderivatives to broaden tl1e scope of dtherentiable function. One of the importallt geuerallzationis the Clarke's generalized directional derivative[1]--[2]… 相似文献
11.
The aim of the paper is to outline the known results and the main technics they are obtained with as well as the open questions about selections of set-valued mappings. More precisely the following topics will be touched: Set-valued selections of set-valued mappings, factorizations of set-valued mappings, inverse selection theorems, selections via extension of the set-valued mapping. 相似文献
12.
An-hua Wan Jun-yi Fu Wei-hua Mao 《应用数学学报(英文版)》2006,22(1):21-26
A new generalized vector equilibrium problem involving set-valued mappings and the proper quasi concavity of set-valued mappings in topological vector spaces are introduced; its existence theorems and the convexity of the solution sets are established. 相似文献
13.
完备凸度量空间中(次)相容和集值广义非扩张映象的公共不动点定理 总被引:5,自引:0,他引:5
本文在完备凸度量空间中,利用集值和单值映象(次)相容的一些条件,建立了数值广义非扩张映象存在公共不动点的一个充要条件和一个充分条件.我们的结果改进、扩充和发展了文[2~7]中的主要结果. 相似文献
14.
Jean-Marc Bonnisseau 《Set-Valued Analysis》1997,5(3):209-226
We consider a general equilibrium model of an economy in which the production possibilities, the consumption sets and the preferences of the consumers are represented by set-valued mappings which depend on the environment to take into account the possibility of external effect. In order to encompass all kinds of nonconvexities, we do not put any convexity assumption either on the graph of the set-valued mapping which describes the technological possibilities or on the production set for a given environment. The firms are instructed to set their prices according to general pricing rules which may depend on the production plans of other producers and on consumption plans.We report an existence result of general equilibria. As in the model without external effects, the key hypotheses are bounded loss and survival assumptions. Nevertheless, we also assume that the set-valued mappings which describe the fundamentals of the economy are lower semi-continuous and have a closed graph.Our framework is sufficiently large to generalize previous works on the existence of competitive equilibria with externalities when the firms have convex production sets and on the existence of equilibria with general pricing rule without externality. 相似文献
15.
带有模糊集值映象的一般混合拟变分包含的扰动近似点算法 总被引:5,自引:0,他引:5
本文引入一类新的带有模糊集值映象的一般混合拟变分包.在Hilbert空间中,利用极大η-单调映象的预解算子技巧,建立了这类变分包与不动点的等价性.利用这种等价性,构造了一些新的扰动近似点算法,并证明了由此算法所产生的迭代序列的收敛性.这些定理改进,统一和推广了近期文献中许多重要结果. 相似文献
16.
《Optimization》2012,61(2):167-180
This article introduces a new concept of an exceptional family of elements for a generalized set-valued variational inequality in Banach spaces. By using this concept and the degree theory for the generalized set-valued variational inequality introduced by Wang and Huang [Zh.B. Wang and N.J. Huang, Degree theory for a generalized set-valued variational inequality with an application in Banach spaces, J. Glob. Optim. 49 (2011), pp. 343–357], some solvability results for the generalized set-valued variational inequality and its special cases are given in Banach spaces under suitable conditions. 相似文献
17.
讨论拓扑向量空间中无约束集值优化问题的最优性条件问题.利用集值映射的Dini方向导数,在广义锥-预不变凸性条件下,建立了集值优化问题关于弱极小元和强极小元的最优性充分必要条件. 相似文献
18.
19.
20.
Xianqiang Luo 《数学研究通讯:英文版》2011,27(3):268-278
In this paper, we establish a fixed point theorem for set-valued mapping
on a topological vector space without "local convexity". And we also establish some
generalized Ky Fan's minimax inequalities for set-value vector mappings, which are
the generalization of some previous results. 相似文献