共查询到20条相似文献,搜索用时 78 毫秒
1.
《数学季刊》1989,(2)
Guo [1] gives some fixed point theorems of cone maps in Banacb space. Here we generalize the main resnlts of [1] to a locally convex space. We remark that the approach in [1] is not applicable in our paper. Throughout this paper. X is a Hausdorff locally convex topological vector space over the field of real numbers, K is a closed convex subset 相似文献
2.
In this paper,we obtain the Painlev’e-Kuratowski Convergence of the efficient solution sets,the weak efficient solution sets and various proper efficient solution sets for the perturbed generalized system with a sequence of mappings converging in a real locally convex Hausdorff topological vector spaces. 相似文献
3.
In this note we obtain generalization of well known results of carbone and Conti,Sehgal and Singh and Tanimoto concerning the existence of best approximation and simultaneous best approximation of continuous Junctions from the set up of a normed space to the case of a Hausdorff locally convex space. 相似文献
4.
An existence result on Ky Fan type best approximation is proved. For this purpose, a class of factorizable multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani [8] and many others. 相似文献
5.
In this paper, we consider a general composite convex optimization problem with a cone-convex system in locally convex Hausdorff topological vector spaces. Some Fenchel conjugate transforms for the composite convex functions are derived to obtain the equivalent condition of the Stable Farkas Lemma, which is formulated by using the epigraph of the conjugates for the convex functions involved and turns out to be weaker than the classic Slater condition. Moreover, we get some necessary and sufficient conditions for stable duality results of the composite convex functions and present an example to illustrate that the monotonic increasing property of the outer convex function in the objective function is essential. Our main results in this paper develop some recently results. 相似文献
6.
ON FULLY CONVEX AND LOCALLY FULLY CONVEX BANACH SPACE* 总被引:1,自引:0,他引:1
那启元 《数学物理学报(B辑英文版)》1990,(3)
In this paper, we introduce the concept of locally fully convexity. We study the properties of fully convex and locally fully convex Banach spaces and the relations between them. We also give some applications of the fully convex and locally fully convex Banach spaces. 相似文献
7.
丘京辉 《数学物理学报(B辑英文版)》2010,(5):1709-1720
Modifying the method of Ansari,we give some criteria for hypercyclicity of quasi-Mazur spaces.They can be applied to judging hypercyclicity of non-complete and non-metrizable locally convex spaces.For some special locally convex spaces,for example,Ko¨the(LF)-sequence spaces and countable inductive limits of quasi-Mazur spaces,we investigate their hypercyclicity.As we see,bounded biorthogonal systems play an important role in the construction of Ansari.Moreover,we obtain characteristic conditions respectively for locally convex spaces having bounded sequences with dense linear spans and for locally convex spaces having bounded absorbing sets,which are useful in judging the existence of bounded biorthogonal systems. 相似文献
8.
A locally convex space is said to be a Gateaux differentiability space (GDS) provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gateaux differentiable in .D.This paper shows that the product of a GDS and a family of separable Prechet spaces is a GDS,and that the product of a GDS and an arbitrary locally convex space endowed with the weak topology is a GDS. 相似文献
9.
In this paper we define a topology that we call canonical on an irreduciblemodule for a topological algebra. Under some additional conditions we provetheorems of the strict density and the uniqueness of the topology for a primi-tive locally convex F-algebra. We also show that a locally finite primitive local-ly convex F-algebra is finite dimensional. 相似文献
10.
丘京辉 《数学物理学报(B辑英文版)》2008,28(2):408-416
The author gives a dual characterization of solid cones in locally convex spaces. From this the author obtains some criteria for judging convex cones to be solid in various kinds of locally convex spaces. Using a general expression of the interior of a solid cone, the author obtains a number of necessary and sufficient conditions for convex cones to be solid in the framework of Banach spaces. In particular, the author gives a dual relationship between solid cones and generalized sharp cones. The related known results are improved and extended. 相似文献
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12.
Bulow and Levin’s (2006) “Matching and Price Competition” studies a matching model in which hospitals compete for interns by offering wages. We relax the assumption of symmetric linear costs and compare the pricing equilibrium that results to the firm-optimal competitive equilibrium. With linear and asymmetric costs, competition in the pricing equilibrium may not be localized, but all other qualitative comparisons of Bulow and Levin (2006) hold. With non-linear and symmetric costs workers’ average utility in the pricing equilibrium may be higher than in the firm- optimal competitive equilibrium. With asymmetric and non-linear costs, firms need not choose scores from an interval in a pricing equilibrium, which may make competition even less localized. 相似文献
13.
考察十余种国内通用的高等数学教材对凸函数定义的异同,论证凸函数的两种原始定义之间的关系,给出凸函数所满足的三个重要不等式,并证明凸函数在一元函数微分学范围内所满足的两个重要性质——连续性和单侧可导性。利用实分析中的Hausdorff极大定理给出满足第一种原始定义而不满足第二种原始定义的一个函数的例子. 相似文献
14.
H. R. Müller A. E. Mitchell 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1963,14(6):758-763
The jet profile of a momentum amplifier is used to find the optimum distance between receiver and outlet nozzle, as well as the most favorable receiver width. The receivers are designed for digital operation, so that good discrimination is assured. With the help of the output characteristic and of the control line resistance, the response time can be calculated. With equal discrimination, without considering response time, the boundary layer amplifier allows essentially higher amplification. 相似文献
15.
《Fuzzy Sets and Systems》2004,141(3):335-390
With the aim of designing and implementing programming languages that take into account the fuzzy paradigm we will modify the classical lambda calculus by adding a degree to each term and by redefining the b-reduction. Thus, for the new calculus to verify the Church–Rosser property, the degree computed with can be made through a function that is a t-norm or an s-conorm. With this new tool we design a nondeterminist language that satisfies fuzzy data programming requirements, and an example of its behaviour is shown. 相似文献
16.
Marko Huhtanen 《Arkiv f?r Matematik》2010,48(1):57-77
Nonsingular matrix subspaces can be separated into two categories: by being either invertible, or merely possessing invertible
elements. The former class was introduced for factoring matrices into the product of two matrices. With the latter, the problem
of characterizing the inverses and related nonlinear matrix geometries arises. For the singular elements there is a natural
concept of spectrum defined in terms of determinantal hypersurfaces, linking matrix analysis with algebraic geometry. With
this, matrix subspaces and the respective Grassmannians are split into equivalence classes. Conditioning of matrix subspaces
is addressed. 相似文献
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18.
作者在前文[1] 中研究了可变样本容量 (VSS)和抽样区间 (VSI)的中位值 (~x)和极差 (R)控制图 ,指明其功效均大于常规 (FSS)控制图。本文将前文的研究方法推广到联合 ~x 和R图 ,记作CVSSI~x -R图 ,它能更快地发现过程平均值和方差的变化 ,从而减少不合格品数 相似文献
19.
Jean Bourgain 《Publications Mathématiques de L'IHéS》1989,69(1):5-41
With an appendix on return-time sequences 相似文献
20.
针对求解三角函数有理式不定积分的问题,借助实例说明传统方法存在不足之处,并给出此类不定积分的完整解. 相似文献