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bounded convex set
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  有界凸集
     In this paper,we respectively study the strong and weak convergence for explicitand implicit iteration sequences of some mappings in Banach space. In Chapter 1, A sufficient and necessary condition is proved for Ishikawa itera-tive sequence of uniformly quasi-Lipschitzian mappings S,Twith errors to converge tofixed points, where S,T defined on a bounded convex set need not be continuous.
     本文在Banach空间中分别研究了几类映象的显式与隐式迭代序列的强、弱收敛性在第一章中,我们对Banach空间中有界凸集上的一致拟Lipschitzian映象S,T证明了带误差的Ishikawa迭代序列收敛到其公共不动点的一个充要条件,其中S,T不必连续。
短句来源
     and nonempty closed and bounded convex set(?)
     E和非空、闭的有界凸集(?)
短句来源
     Giving a bounded convex set B in Rp,a point X e∈B.Then there exists ahyperplane that supports B at X. In this paper,we discussed the properties of the sup- porting hyperplane when X∈B and X is a maximum element of B. From which we get anecessary and sufficient condition for X be a maximum element of the bounded convexset B.
     在R ̄P中,给定一个有界凸集B,给定一个点,则存在一个在X支撑B的超平面,本文限定,且X是B的极大元,从而讨论这时的支撑超平面的性质,并由此得出了X是有界凸集B的极大元的充要条件。
短句来源
     The present paper deals with the existence and uniqueness of the generalized solution of the first initial boundary value problem of parabolic type Monge Ampère equation -u t det u xx =f in Q=Ω×(0,T], u=φ on  pQ , where Ω is a bounded convex set in R n, f is a nonnegative bounded measurable function, φ(x,t) =ψ(x)+A(t)x+B(t), ψ(x)∈C() convex, and x 0∈Ω, φ(x 0,t)∈C α([0,T]) that is monotone decreasing in t∈[0,T].
     证明抛物型 Monge-Ampère方程第一初边值问题 -utdet uxx=f于 Q=Ω× ( 0 ,T] ,u=φ于 p Q广义解的存在惟一性 ,这里 Ω为Rn中的有界凸集 ,f 非负有界可测 ,φ( x,t) =ψ( x)+A( t) x+B( t) ,其中ψ( x)∈ C(Ω)凸 , x0 ∈ Ω ,φ( x0 ,t)∈ Cα( [0 ,T] )且关于 t∈ [0 ,T]单调递减
短句来源
     This paper studies the uniformly quasi-Lipschitzian mappings, S and T, on a bounded convex set in Banach space. S and T are defined on a bounded convex set and need not be continuous. A sufficient and necessary condition is then given and proved for Ishikawa iterative sequence with errors to converge to fixed points.
     针对Banach空间中有界凸集上的一致拟Lipschitzian映象S和T,给出并证明了S和T不必连续的带误差的Ishikawa迭代序列收敛到其公共不动点的一个充要条件。
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  “bounded convex set”译为未确定词的双语例句
     2) Let (X,T) is a Frechet space and B is a closed bounded convex set.
     (2) (X,T)是Fréchet空间,B是X中的非空有界闭凸集,T_1是T的相容拓扑,则B有T_1Drop性质当且仅当任意关于B的流有T_1收敛的子列;
短句来源
     The non-moving problem of bounded convex set K defined at X in Banach space up to its mapping T:||Tx - Ty ||≥ a || x - y || + b || x - Ty ||, (?)
     讨论了定义在Banach空间X的有界闭凸集K上到其自身的映射T:||Tx-Ty||≤α||x-y||+b||x-Ty||,(?)
短句来源
     ANOTHER PROOF OF CHARACTERIZATION OF DENTING POINTS OF A CLOSED BOUNDED CONVEX SET
     有界闭凸集的可凹点特征的另一证明
短句来源
     Using streaming sequences introduced by Rolewicz,we give a characterisation of the quasi-weak drop property for closed bounded convex sets in Frechet spaces. From this,we prove that the quasi-weak drop property is equivalent to weak compactness. Thus a Frechet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.
     引入了一种新的滴状性质 ,关于局部凸空间中有界闭凸集的拟弱滴状性质 ,利用Rolewicz所引进的流动序列 ,给出了Frechet空间中有界闭凸集的拟弱滴状性质的特征 由此 ,证明了拟弱滴状性质等价于弱紧性 这样 ,Frechet空间为自反当且仅当该空间中每个有界闭凸集具拟弱滴状性质
短句来源
     The present paper presents a continuous selection theorem for closed bounded convex setvalued mapping which is defined on a conpact metric space and takes images in a n Banach space (n>1).
     对定义在紧度量空间上,取值于n(n>1)维Banach空间的具有有界闭凸集值的集值映射,给出一个连续选择定理.
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  相似匹配句对
     and nonempty closed and bounded convex set(?)
     E和非空、闭的有界凸集(?)
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     X be a locally closed,bounded,p-convex set.
     X为局部闭,有界,p-凸集。
短句来源
     EXTENSION CONVEX SET
     可拓凸集
短句来源
     On the Boundary of the Convex Set
     关于凸集边界
短句来源
     Totally Bounded Set in Locally β-convex Space
     局部β-凸空间中的完全有界集
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  bounded convex set
For a given p >amp;gt; 1 and an open bounded convex set
      
Our objective in these problems is to find a point in a nonempty bounded convex set Γ in the cone of symmetric positive-semidefinite matrices.
      
We show that this statement cannot be extended to general complex Banach spaces by constructing a closed bounded convex set with no support points.
      
LetV andW be two Banach spaces, withV reflexive,[Figure not available: see fulltext.] a bounded convex set ofV, A a linear mapping fromV intoW, and letF be a convex functional onW.
      
On the area and perimeter of a random convex hull in a bounded convex set
      
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In this paper the authors discuss the solvable problem of a new class of parameter equation using the method of functional analysis. In the aystem of transport in bounded convex set, the sufficient and necessary condition is given, under which the parameter problems have non-zero non-negtive solution. A somewhat rude estimation range of critical parameter is attained.

本文应用泛函分析方法讨论了一类新型的带参变量的积-微分方程的求解问题,给出了参数方程存在非零非负解的充要条件,并对相应的参数进行了具体估计。

In this paper,we consider the local existence of solutions of nonlinear integral equations of Volterra type in a Banach space E.By constructing a properly compact subset(?)and nonempty closed and bounded convex set(?)(J_0being an interval),we prove that the condition(A2)in theorem 5.5.1 of [1] can be cancelled by using the fixed point principle of schauder.

本文在Barsach空间E中考虑Volterra型非线性积分方程局部解的存在性,通过构造适当的紧子集Ω(?)E和非空、闭的有界凸集(?)为某一区间),应用Schauder不动点定理,证明了文[1]定理5.5.1中条件(A_2)是多余的。

Giving a bounded convex set B in Rp,a point X e∈B.Then there exists ahyperplane that supports B at X. In this paper,we discussed the properties of the sup- porting hyperplane when X∈B and X is a maximum element of B. From which we get anecessary and sufficient condition for X be a maximum element of the bounded convexset B.

在R ̄P中,给定一个有界凸集B,给定一个点,则存在一个在X支撑B的超平面,本文限定,且X是B的极大元,从而讨论这时的支撑超平面的性质,并由此得出了X是有界凸集B的极大元的充要条件。

 
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