Fixed Points of Cone Maps in Locally Convex Spaces

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     

Painlevé-Kuratowski Convergences of the solution sets to perturbed generalized systems

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.     

SOME BEST APPROXIMATION RESULTS IN LOCALLY CONVEX SPACES

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.     

KY FAN TYPE BEST APPROXIMATION THEOREM FOR A CLASS OF FACTORIZABLE MULTIFUNCTIONS

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.     

ON FULLY CONVEX AND LOCALLY FULLY CONVEX BANACH SPACE*

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.     

The Stable Farkas Lemma for composite convex functions in infinite dimensional spaces

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.     

HYPERCYCLIC OPERATORS ON QUASI-MAZUR SPACES

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.     

ON THE PRODUCT OF GTEAUX DIFFERENTIABILITY LOCALLY CONVEX SPACES

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.     

Primitive Topological Algebras And Modules

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.     

S-闭空间的性质

本文给出了S-闭空间的另一等价定义,建立了刻划S-闭空间特征的定理1,在应用上比[1]中的特征定理2方便得多.以此为依据我们得出了S-闭空间的若干性质,包括:(1)为使Hausdorff空间x是S-闭空间,必须且只须X是极不连通的H-闭空间.(2)为使正则空间是S-闭空间,必须且只须X是极不连通的紧空间.(3)为使拓扑空间X是S-闭空间,必须且只须X的半正则化是S-闭空间.(4)满足第一可数公理的S-闭的Hausdorff空间是有限的.此外,我们指出了[2]的主要结论的证明是错误的.     

基于改进蚁群算法的侦察无人机航路规划与实现

文章针对侦察无人机航路规划这一问题,分析了影响航路规划的因素,构建了航路规划的模型.结合侦察无人机航路规划的特点与模型,论证了基于蚁群算法求解的理由与优点,并对蚁群算法的初始信息素强度与启发因子进行了改进.最后以岛屿进攻战役这一特定作战任务为例,利用MATLAB实现了侦察多目标时的航路规划问题.     

Comparison of a Momentum Device with a Turbulent Reattachment Device

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.     

Matching and price competition: beyond symmetric linear costs

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.     

关于凸函数定义的几点思考

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．     

A fuzzy language

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.     

Matrix subspaces and determinantal hypersurfaces

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.     

可变样本容量和抽样区间的联合和R控制图

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     

二维各向同性多孔介质的弹性动力学通解

在二维直角坐标系下,从固体位移和流体流速满足的基本方程出发,研究了二维各向同性多孔介质的弹性动力学通解.首先引入4个物理量,对固体骨架的运动方程、流体流速运动方程、连续性方程进行整理,将方程组分解成膨胀波和扭转波两部分,并利用Lur’e算子矩阵理论,获得由3个类调和函数表示的动力学通解,该通解满足全部基本方程.最后将时间项退化获得稳态通解,并证明了稳态通解的完备性.     

Pointwise ergodic theorems for arithmetic sets

With an appendix on return-time sequences     

三角函数有理式不定积分注记

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．