片语

Kleene fixed-point theoremIn the mathematical areas of order and lattice theory, the Kleene fixed-point theorem, named after American mathematician Stephen Cole Kleene, states the following:

common fixed-point theorem公共不动点定理

random fixed-point theorem随机不动点定理

lattice fixed-point theorem晶格定点定理

Fixpunktsatz fixed-point theorem不动点定理

cone fixed-point theorem锥不动点定理

schauder fixed-point theoremThe Schauder fixed point theorem is an extension of the Brouwer fixed point theorem to topological vector spaces, which may be of infinite dimensio It asserts that if K is a convex subset of a topological vector space V and T is a continuous mapping of K into itself so that T(K) is contained in a compact subset of K, then T has a fixed po

Lefschetz fixed-point theoremIn mathematics, the Lefschetz fixed-point theorem is a formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X. It is named after Solomon Lefschetz, who first stated it in 1926.

英汉例句

• the shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains.

  利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。

• in this paper, we show the existence of the multiple positive solutions of a class of three - order boundary value problems via the fixed point theorem on cone .

  利用锥拉伸与锥压缩不动点定理研究了一类三阶两点边值问题的无穷多个正解。

• in this paper we present a convex structure for 2-metric spaces, and from this we get a fixed point theorem for a kind of nonexpansive mappings.

  本文对于2-距离空间引入了凸结构的概念，并由此得到一类非扩张映象的不动点存在定理。

• moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.

  另外，我们还得一个一致局部扩张映射不动点定理与一个準扩张映射不动点定理。

• we study the existence of positive solutions for a functional integral equation using a fixed point theorem of expansion and compression type in a cone.

  运用锥拉伸与压缩不动点定理，研究一类泛函积分方程的正解。

• by using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.

  应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。

• sufficient conditions are established for the multiplicity of positive solutions of this problem by using krasnoselskii fixed point theorem in cones.

  利用一个普通的锥不动点定理研究了二阶奇异非共振边值问题正解的存在性。

• a collectively fixed point theorem for a family of set-valued mappings defined on a product space of locally generalized convex uniform spaces is first proved.

  对一族定义在局部广义凸一致空间的乘积空间上的集值映射，给出了一个集族不动点定理。

• it is true, and the proof comes as an application of a fixed point theorem which i discussed a year ago.

  这是真的，证据来自不动点原理的一种运用，一年前我曾探讨过它。

• in this paper, we study the solvability for a class of second-order m-point boundary value problems with sign changing nonlinearities by using the fixed point theorem in cones.

  利用锥上的不动点理论，研究了一类具有变号非线性项的二阶三点边值问题正解的存在性，从而得到了这类边值问题可解的充要条件。

• this paper presents a new existence theory for positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones.

  运用锥不动点定理，给出了二阶离散周期边值问题正解的新的存在性定理。

• in this paper we obtain a ky fan type matching theorem, a coincidence theorem, some fixed point theorems and approximate fixed point theorem in -hyperconvex spaces.

  文章在λ-超凸度量空间中获得了ky-fan型的匹配定理，叠合定理及一些关于不动点、ε-不动点的定理。

• a new fixed point theorem for a nonexpansive mapping g:d→d is obtained.

  证明了非扩张映像g：d→d的一个新的不动点定理，这一定理推广了已有相关结果。

• in this paper, we extend an important fixed point theorem for set-valued. a random fixed-point theorem for random set-valued semi-closed 1-set contraction mapping is obtained.

  将集值半闭1-集压缩映象的一个重要不动点定理随机化，得到随机集值半闭1-集压缩映象的随机不动点定理。

• does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.

  研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。

• a new fixed point theorem for mixed monotone operator in a cone is presented, and with its help we establish existence theorems of positive almost automorphic solutions.

  然后利用这个不动点定理，我们得到概自守正解的存在性定理。

• in this paper, several new fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings in compact metric space are introduced.

  特别讨论了积空间中渐近非扩张映射的不动点问题，研究了某些非扩张映射迭代序列在特定条件下的收敛性问题。

• in the paper, the concept of qusi compatible multi valued and single valued mappings are introduced and a common fixed point theorem and a random common fixed point theorem are established.

  本文引进集值映象与单值映象拟相容概念，建立了一类拟相容映象对的公共不动点定理。

• in the paper, the concept of qusi compatible multi valued and single valued mappings are introduced and a common fixed point theorem and a random common fixed point theorem are established.

  这种压缩方案就是把每一个测试模式分成固定长度的块，并根据相邻测试模式的对应块是否相容和一位相异进行编码。

• by using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.

  利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。

• in this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.

  本文给出在完备度量凸空间上非自映射的一类新的不动点定理。

• based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.

  利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。