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Minimality ; minimal set ; compact metric space ; open cover ; equicontinuous homeomorphism

极小性;极小集;紧致度量空间;开覆盖;等度连续同胚

In this paper, we give a section theorem of Ky Fan type and its equivalent theorem in hyperconvex metric spaces, and as their applications we obtain some minimax theorems and a coincidence theorem.

赵云河 ,张惠丽文章给出了超凸度量空间中的一个Ky Fan型截口定理及其等价定理,作为它们的应用,得到了一些极大极小定理和一个重合定理。

This paper deals with an existence theorem for a class of quasi-equilibrium problem s in com-pletp metric spaces.

研究完备度量空间中一类拟均衡问题的可解性,由此导出著名的Ekeland变分原理。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中,通常把所求的解归结为度量空间中映射的不动点,然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

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。

Since 1960s, the investigations of generalized metric spaces is an active direction of General Topology all the time.

从20世纪60年代起,广义度量空间理论一直是一般拓扑学中活跃的研究方向。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

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。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内,对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列,证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.

证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性,并给出了有平均跟踪性的同胚是极小的一个充分条件。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上,等距映射的系统,压缩映射的系统,单位圆上的自同胚映射的系统等的拓扑熵都为零,而可扩映射的系统有正的拓扑熵。

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推荐网络例句

Results showed that 0.01g/mL extract of Oxalis corniculata L. had obvious antimicrobial effect on S. aureus, but all extract of Oxalis corniculata L has not any antimicrobial effect on E.

结果表明,0.01g/ml的提取物对摇床培养的金黄色葡萄球菌生长具有明显的抑制作用;但各种浓度的提取物对摇床培养的大肠杆菌生长均无抑制作用。

This will be totally different from Zaro's texture mod, it will be desaturated, dirty etc.

这会和Zaro的那个材质补丁有很大不同,这边是更多的不饱和色,整个都灰扑扑的。

This will be a major step forward for our country's aerospace technology.

这将是国家航空科技的一个重大的进步。