并进一步证明了严格单调算子的解的唯一性定理。
We prove the uniqueness theorems of solutions for the strictly monotone operators.
本文提出了随机强制算子与随机强单调算子的新概念。
In this paper, new concepts of random forced operator and random powerful monotonous operator are introduced.
运用Zorn引理得到了非紧，非单调算子不动点存在性的一些有趣结果。
This paper obtains some new and interest theorem on the existence of fixed points for noncompact and no monotone operators.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
本文主要研究了弱内向1 -集压缩映象和单调算子的不动点的存在性定理及其应用。
In this thesis, we mainly investigate the existences of fixed points for weakly inward 1-set-contraction mappings and monotone operators with their applications.
本文研究了系数为强单调算子的椭圆型偏微分方程，得到了解的梯度的几乎处处收敛性。
In this paper, we study the elliptic partial differential Cquation whose coefficients are strongly monotony operators, and obtain the everywhere convergence of the gradients of solutions.
证明了抽象空间中一类T单调算子的最大、最小不动点定理，改进了已知文献的结果。
The maximal and minimal fixed points theorems for a class of T monotone operators in abstract spaces are proved, and some well known results are improved.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
对一类两点边值问题给出了对称正解的两种单调迭代格式，主要工具是单调算子迭代技巧。
The two iterative schemes of symmetric positive solution are studied for a two-point boundary value problem by the help of monotonic technique.
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。
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.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
最后，我们利用单调函数去构造更一般的结合算子，从而导出很多常用的算子作为特例。
Lastly we construct more general aggregation operators by means of some monotonous functions, from which some frequently used operators are obtained as special cases.
研究了一类t单调增算子，并给出了这类算子的一些不动点定理，改进了已有的有关结果。
In this paper, we studied a class of t monotone increasing operators and obtained some fixed point theorems, generalized and improved many known results.
本文讨论了部分算子函数的单调性并且给出了其有趣的推论。
In this paper we discuss the monotonicity of some operator functions and show their interesting corollaries.
给出了半序集上集值算子的几种混合单调性定义，讨论了它们之间的关系。
In this paper, some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.
最后，我们利用单调函数去构造更一般的结合算子，从而导出很多常用的算子作为特例。
Lastly we construct more general aggregation operators by means of some monotonous functions, from which so...
然后根据基本单位区间单调函数的性质拓展连续区间有序加权平均算子形成梯形连续区间有序加权平均算子；
On the other hand, according to the characteristics of the Basic Unitinterval Monotonic (BUM) function, the C-OWA operator was extended to the TC-OWA operator.
然后根据基本单位区间单调函数的性质拓展连续区间有序加权平均算子形成梯形连续区间有序加权平均算子；
On the other hand, according to the characteristics of the Basic Unitinterval Monotonic (BUM) function, the C-OWA operator was extended to the TC-OWA operator.
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