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强单调     
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  strongly monotone
     Finite Element Solution for Strongly Monotone Operator Equations(Gradient Type)
     强单调算子方程(位势型)有限元
短句来源
     In this paper, considering the monotone operator from A in X into X, we show that the principle of acute angles, Minty-Browder's theorem and the principle of strongly monotone mapping are still valid, however , X and X need not to be reflective.
     本文对一般Banach空间X,考虑X~*的子集A到X的单调算子,不需要假设X及X~*自反,证明了单调算子的锐角原理,Minty-Browder定理及强单调映象原理.
短句来源
     The purpose of this paper is to study the iterative approximation of solutions to the set-valued mapping equation 0∈T(z), where T is a maximal strongly monotone operator.
     该文研究集值映象方程0∈T( z)的解的迭代逼近,其中T是极大强单调算子.
短句来源
     In this paper, by using a ( A, η )-resolvent operator technique of maximal monotone mappings and the property of a fixed-point set of set-valued contractive mappings, a study is made into the behavior and sensitivity of the solutions of the parametric completely generalized strongly monotone nonlinear implicit quasi-variational inclusion in Hilbert space.
     在Hilbert空间中利用极大单调映射下的(A,η)预解算子技巧和集值压缩映射的不动点集的性质,讨论了含参量的完全广义强单调非线性隐拟变分包含解集的灵敏性分析.
短句来源
     Mann Iteration Processes for Constructing a Solution of Strongly Monotone Operator Equations
     构造Banach空间强单调算子方程解的Mann迭代过程
短句来源
更多       
  strong monotone
     Variational Inequalities of Fuzzy γ-degree Strong Monotone Mappings
     模糊γ-度强单调映射的变分不等式
短句来源
     A Class of Strong Monotone T_2 Spaces
     一类强单调T_2空间
短句来源
     This paper introduces the concepts of fuzzy γ degree strong monotone mapping and fuzzy γ degree Lipschitz continuous mapping,and the concept of γ degree solution of variational inequalities for Fuzzy mappings. We also consider the existence problem of γ degree solution of variational inequalities for fuzzy γ degree strong monotone and fuzzy γ degree Lipschitz continuous mappings,and discuss an iterative algorithm for these variational inequalities.
     引入了模糊γ 度强单调映射和模糊γ 度Lipschitz连续映射的概念 ,引入了关于模糊映射的变分不等式的模糊γ 度解的概念 ,讨论了一类关于γ 度强单调映射和模糊γ 度Lipschitz连续映射的变分不等式的模糊γ 度解的存在性 ,并讨论了其解的迭代法。 所得到的结果推广和改进了前人的相应的结果
短句来源
     We prove if the space X has cushioned pair base, then X is a strong monotone T_2 space.
     证明了具有垫状对基的拓朴空间是强单调T2.
短句来源
  strongly monotonically
     A New Class of Operator Which is Derived from Strongly Monotonically T_2 Space
     由强单调T_2空间导出的一类新算子(英文)
短句来源
     We proved that if a strongly monotonically T_2 space X is compact, then there is a function that assigns to each closed subset K and each n>n_0(n_0∈ω) a closed set δ(K,n) such that: (i)K=∩n≥n_0δ(K,n);
     证明了若拓扑空间X是强单调T2紧的,则对X中的任意闭集K和任意的n>n0(n0∈ω)存在一个闭集δ(K,n)满足:(i)K=∩n≥n0δ(K,n);
短句来源
     By comparing the monotonically T_2 space and strongly monotonically T_2 space,the nested T_2 space is inlroduced,it is proved that the regular m_2 space is equivalent to nested T_2 property,this is an improvement of Buck's result on m_2 space.
     通过对单调T2空间和强单调T2空间的比较和分析,引入了嵌套T2空间的定义,证明了正则m2空间等价于嵌套T2空间,从而改进了Buck关于m2空间的一个结果.
短句来源
     X be a closed convex and normed pointed cone, we construct a norm on X, the norm is continuous, strictly convex on X and strongly monotonically increasing on K. Using the norm, we prove the contractibility of efficient point sets.
     X是正规锥(可以不要求具有界凸基底)的条件下构造了在X上连续、严格凸、在K上强单调增的一个范数,利用这个范数讨论了有效点集的收缩性
短句来源
  strongly monotonous
     The stability is studied of the solution for a kind of strongly monotonous nonlinear variational inequalities in Hilbert space. It is proved that the solution's stability depends on the continuity of the sets and mappings.
     本文研究 Hilbert空间中一类强单调非线性变分不等式解的稳定性 ,所得结果表明强单调非线性变分不等式解的稳定性依赖于对应集合族与映射族的连续性 .
短句来源

 

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      strong monotone
    The results contained in this paper are extensions of the Kamke-Müller theorem and Hirsch's theorem for strong monotone flows.
          
    For some existing maximum entropy problems in the literature, the new dual iterate can be derived from a simple projection and then the new primal iterate can be obtained via solving approximately n separate one-dimensional strong monotone equations.
          
      strongly monotonically
    Some properties of strongly monotonically T2 spaces
          
    This paper investigates Buck's question about which class of spaces is strongly monotonically T2, and if other properties are combined with strongly monotonically T2, which class of spaces could be got.
          
    Based on having a cushioned pair-base space and compact strongly monotonically T2 space, some results (Theorems 1-3) are obtained.
          


    Let H be a real Hilbert space and A : D(A~)(?)H→H a quasi-strongly monotone operator. In this paper we establish, a new algorithm to find the zero of A. By constructing a sequence of closed balls containing the zero of A, the algorithm generates a global iteration which keeps self- well- defined and automatical accumulation of error, and converges to the zero of A simply if A is well defined and bounded in a certain ball which contains the zero of A. As a result of the algorithm, all conclusions appeared in...

    Let H be a real Hilbert space and A : D(A~)(?)H→H a quasi-strongly monotone operator. In this paper we establish, a new algorithm to find the zero of A. By constructing a sequence of closed balls containing the zero of A, the algorithm generates a global iteration which keeps self- well- defined and automatical accumulation of error, and converges to the zero of A simply if A is well defined and bounded in a certain ball which contains the zero of A. As a result of the algorithm, all conclusions appeared in [1], [2], [3] and [4] are improved and extended.

    设H是实Hilbert空间,A:D(A)H→H是拟强单调算子.本文运用T.E.Williamson·Jr,对于压缩算子所应用的几何估计思想,通过逐次构作包含方程Ax=0解集的闭球串,构遣了适定性自动调节和误差自动累计的大范围收敛迭代格式.这一格式对日为有限维情形,有无条件大范围收敛性质;对D(A)=H情形,有无条件局部收敛性质;而一般,只要A在某个包含方程Ax=0解集的闭球上有界,仍保持大范围收敛.所得结果推广与改进了[1]~[4]的全部结果.

    For Solving strongly monotone operator equation which satisfies certain conditions in finite dimensional space,a ball iterative method is established in the paper. Besides, the global convergence of the method is proved and some numerical examples are computed

    对满足一定条件的有限维强单调算子方程,本文建立了求解的球形迭代法,证明了收敛性,计算了相应的数值例子。

    The purpose of section Ⅰ,Ⅱ is to study the existence,uniqueness, convegence and abstract error estimate of finite elment approximations for operator equations (1) with quasi-linear elliptic problem (9),under conditions of strongly monotone and“H(?)ldr-continuous”. The purpose of section Ⅲ is to study the convergence pate of finite element approximations under conditions of u°εW(Ω).

    本文是在强单调和“赫尔登连续”的条件下讨论位势型算子方程及其有限元方程的解的存在唯一性,收敛性,误差估计及其在一类拟线性椭圆方程边值问题中的应用,引入了“邻域阶”的概念,从而在解“不光滑”的情况下也能利用 Sobolev 空间插值理论得出收敛速度的一个度量。

     
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