1) Hyperconvex metric space
超凸度量空间
1.
In the present paper,some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.
文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理。
2.
The concept of quasi-convexity in hyperconvex metric spaces is introduced.
在超凸度量空间中,引进拟凸与拟凹概念,建立Ky Fan重合点定理,并得到极小极大原理与不动量定理。
3.
In this paper, two new existence theorems of solutions for a kind of quasi-variational inequalities with φ-monotone type multivalued mapping are obtained in hyperconvex metric spaces.
文章得到了超凸度量空间中两个新的一类单调型集值映射拟变分不等式解的存在定理。
2) hyperconvex space
超凸度量空间
1.
On the approximate fixed points of commuting nonexpansive maps in hyperconvex spaces;
超凸度量空间中非扩张可交换映象族的几乎不动点
2.
Studying some properties of hyperconvex spaces and deeper properties and two counterexamples are obtained.
本文研究超凸度量空间的一些性质 ,给出更深入的结果及反例 。
3.
Showing the λ hyperconvexity of the common fixed points sets of any commuting family of finite nonexpansive maps on λhyperconvex space(λ<2),and of any commuting family of nonexpansive maps on λhyperconvex space(λ<2) under some compactness.
给出λ 超凸度量空间中有限个可交换非扩张映射的公共不动点集及一定条件下任意个可交换非扩张映射的公共不动点集的λ 超凸性(λ<2),并获得一些更一般的不动点定理及一个重要反例。
3) convex metric space
凸度量空间
1.
New Ishikawa iteration approximation with errors for asymptotically quasi-nonexpansive mappings in convex metric space;
凸度量空间中渐近拟非扩张映象新的带误差的Ishikawa迭代逼近
2.
Convergence of Ishikawa type iterative sequence of asymptoticallyquasi-nonexpansive mappings in convex metric space;
凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列的收敛性
3.
A fixed point existence theorem and a convergence theorem in convex metric spaces;
完备凸度量空间中不动点定理与收敛定理
4) convex metric spaces
凸度量空间
1.
Convergence of the ishikawa type iterative sequence for asymptotically quasi-nonexpansive mappings with errors in convex metric spaces;
凸度量空间中渐近拟非扩张映象具误差的Ishikawa型迭代序列的收敛性
2.
In complete convex metric spaces, we use Ishikawa iterative process to approximate common fixed point of quasi - contractive mapping pair.
在完备凸度量空间中,运用广义的Ishikawa迭代序列列逼近拟压缩映射对的公共不动点。
3.
In the convex metric spaces,it is proved some sufficiency and necessary conditions for Ishikawa iterative sequences of asymptotically quasi-nonexpansive mappings to converge to fixed points.
在凸度量空间内证明了Ishikawa迭代序列收敛于渐近拟非扩张映象不动点的若干充要条件。
5) Metrically convex metric spaces
度量凸空间
1.
A new fixed point theorem for non-self-mapping on complete metrically convex metric spaces;
完备度量凸空间上非自映射的一个新的不动点定理
6) hyperconvex space
超凸空间
1.
Finally, the existence theorems of equilibrium for abstract economies and qualitative games in hyperconvex spaces are derived.
作为应用,研究了Fan-Browder重合定理和极大元定理,最后,建立了超凸空间中的定性对策和抽象经济的平衡存在定理。
补充资料：凸集的度量空间
凸集的度量空间
convex sets, metric space of
【补注】凸集的度量空间(特别是用对称差度量来度量化的)在凸几「何的分析基础中起着根本的作用.在!All，[A3〕，{A2」中给出的凸几何新的重要结果指出了 条一般的公理化途径.凸集的度且空间}阴vex sets，me肠c spa说of二‘卿R-J以M曰刀.沦1.即.犯印阳cT.0] Eudid空间厂”中紧致凸集(以)n vex set)的集合.并带有Hausdorff度量 阿八，朴绷.(州‘，井)，”妞凡)} 、‘声这个空间是有界紧的(见BlaS山玩选择定理(BlaschkeseleCtion theorem)).关干凸集的度量空间的类似物(其他的度量化，非紧集，集类，其他的初始空间)见!l】.
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参考词条