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双语推荐：不动点

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在锥度量空间中，由一类混合单调算子的不动点定理扩展到两类混合单调算子的公共不动点定理。同时证明了增算子的不动点定理。
In this paper the fixed point theorems for a class of mixed monotone operators are extended to two classes of mixed monotone operators in cone metric space. Furthermore, it proves the fixed point theorem of increasing operator.

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在锥度量空间中，由一类混合单调算子的不动点定理扩展到两类混合单调算子的公共不动点定理。同时证明了增算子的不动点定理。
This paper extends the fixed point theorems for a class of mixed monotone operators to two classes of mixed monotone operators in cone metric space .Furthermore , this paper proves the fixed point theorem of increasing operator .

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在Banach空间中研究非线性算子的不动点问题,给出了一类只具有下解(或上解)的序Lipschitz算子概念,讨论了这类非紧且非单调算子的不动点的存在性,运用锥理论得到了一个有关此类算子的不动点定理.
In Banach space,the problems of fixed point for nonlinear operator was studied.Gave the difinition of order Lipschitz operator with only lower solution or upper solution,discussed the existence of fixed point for this operator which is not monotone or compact.Using the cone theory,obtained the fixed point theorem for this operator.

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通过两个不动点构造了一个极值分布混沌系统，只包含两个极小集，即由两个不动点分别构成的两个极小集，并且存在不可数的且只包含其中一个不动点的极值分布混沌集。
In this paper, we construct an extremal distributionally chaotic system by two fixed points . This dynamical system only contains two minimal sets, i. e. two minimal sets construc-ted by two fixed points, and there is an uncountable extremal distributionally scrambled set con-taining only one fixed point.

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通过给出L-模糊赋范空间中点列收敛的概念，本文建立L-模糊赋范空间中的不动点定理，推广了泛函分析中的不动点定理。
This paper gives the concept of convergence of sequences in L-fuzzy normed space, then gets the fixed-point theorem in L-fuzzy normed space, which generalizes the fixed-point theoremin functional analysis.

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本文研究了非扩张半群的变分不等式的不动点解的迭代算法。利用变分不等式与不动点问题的解的关系，结合粘性逼近方法，建立了非扩张半群的不动点的两步迭代格式，证明了该方法所得到的迭代序列在一定条件下的强收敛性，并收敛于某变分不等式的唯一解。
The iterative scheme of fixed point solutions to variational inequalities of nonex-pansive semigroups is researched in the real Banach space with a uniformly Gateaux differentiable normin this paper. Utilizing the relationship between the variational inequalities and fixed point solution, together with the approach of viscosity approximation, we establish the two-step iterative format of fixed point concerning the nonexpansive semigroups and prove the iterative sequences obtained by this approach possess strong convergence under certain conditions and will strongly converge to the unique solution of certain variational inequality.

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在锥度量空间中，运用迭代方法，研究了一类压缩算子的不动点存在性和唯一性，获得了几个新的不动点定理，推广和改进了相关文献结果。
In this paper , we study the uniqueness and existence of common fixed point by interactive method for a class of mappings in cone metric spaces .Some new conclusions are obtained .The results generalize and improve recent related re-sults.

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本文研究随机集值映射不动点的稳定性。通过集值分析，得到了随机集值不动点的本质稳定集的存在性。在Baire分类意义下，大多数的随机集值映射的随机不动点都是本质稳定的。这些推广了现有文献中的相应结果。
This paper studies the stability of fixed points for random set-valued mappings. Through set-valued analyses, the existence of essentially stable sets of random fixed points is es-tablished. In the sense of Baire category, each random fixed point for most of random set-valued mappings is essentially stable. These generalize some results in the corresponding references.

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以范德蒙德行列式为工具,得到关于多项式不动点的两个新结论,以及线性代数中某已知结论的一个新证明,另外提供实例说明多项式不动点的应用.
In this paper ,two new results about fixed points of polynomial ,and a well-known result in linear algebra are proved by using the Vandermonde determinant .The significance of the fixed points of polynomial is illustrated by an example .

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各种真理不动点理论的一个主要问题在于：它们通常缺乏像样的条件句。本文旨在提出两种新的想法去处理这个问题。在介绍克里普克的真理不动点理论之后，本文的作者探讨了对真理不动点理论的种种反对意见，并回答了其中的一部分。然后，作者说明了菲尔德的真理理论，并说明该理论如何在克里普克的真理不动点理论至上增加了条件句。不过，本文的作者争论说，菲尔德的条件句仍有许多不尽理想之处。为了弥补这些缺点，作者提出了两个想法：一个是在不动点理论至上增加亚当斯条件句，另一个则是在其上增加史多内克条件句。
One of the main problems of fixed point theories of truth is that they usually lack a decent conditional;the paper proposes two new ways to fix this problem. After introducing Kripke’s theory of truth, the author surveys some objections to fixed-point theories and responds to them. Afterwards, the author presents Field’s theory of truth, which overcomes one of the main weaknesses of Kripke’s theory of truth, namely that it lacks a decent conditional. The author claims, however, that there are also some problems with Field’s account, and proposes two ideas of how to fix it:one adding Adams’ conditionals whereas the other adding Stalnaker’s conditionals.

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