1) p-convex metric space
P-凸度量空间
1.
The purpose of this paper is to define an Ishikawa iterative scheme for generalized quasi-contractive mappings in p-convex metric spaces and to prove that this iterative scheme converges to the unique fixed point of generalized quasi-contractive mappings in p-convex metric space.
在P-凸度量空间内,对关于p的广义拟压缩映射定义了Ishikawa迭代序列,证明了Ish-ikawa迭代序列收敛于广义拟压缩映射的唯一不动点。
2.
The author introduced the notions of P-convex metric space and new a class new generalized quasi-contractive.
介绍了P-凸度量空间和新一类广义拟压缩映射的概念,证明了Ishikawa型迭代序列收敛于新一类广义拟压缩映射的唯一不动点,从而推广和统一了近期的一些相应结果。
3.
The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric spaces.
在p-凸度量空间内,引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列,证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。
2) 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
3) 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。
4) 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
5) 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。
6) 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。
补充资料:凸度量
凸度量
convex metric
凸度tl~xme川e;a曰nyKJa:MeTp服al 二维流形M上满足某种凸性条件的内度一(in-ternal metric).更确切地说,设l和m是两条从某点O〔M出发的最短线;X和Y是这两条线上的点;x,y分别是从O到X和Y的距离;z是X和Y之间的距离;并设下(x,力是以戈,y,Z为边的平面三角形中边:的对角.那么,度量(在点O)的凸性条件是指:如果O
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参考词条