单调算子
- 网络Monotone Operator;monotone mapping
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设H是实Hilbert空间,T:H→2H为极大单调算子。
Let H be a real Hilbert space and let T : H-2H be a maximal monotone operator .
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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。
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 .
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含参数(H,η)-单调算子变分包含组解的灵敏性分析
Sensitivity Analysis for a New System of Parametric Variational Inclusions Involving ( H ,η) - Monotone Operator
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Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组
System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces
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三相鞍形PWM波形数据的迭代计算法基于A-极大单调算子的三步迭代算法
Iterative Algorithm of three-phase PWM Waveforms Data in Nonsinusoidal Modulation ; Three-Step Iteration about A-maximal Monotone Framework
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Hilbert空间极大单调算子零点的逼近问题
Approximated Problems of Zero for Maximal - monotone Operators in Hilbert Space
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涉及单调算子的随机广义Hammerstein方程
Random Generalized Hammerstein equations involving monotone operators
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序区间Descartes集上二元φ-凹混合单调算子不动点存在惟一性
Existence and Uniqueness of the Fixed Point for Two-variable Concave ( convex ) Mixed Monotone Operators on Descartes Set of Order Intervals
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引进了关于H和G的强单调性概念,在Hilbert空间中研究了新的一类关于(H,η)单调算子的非线性集值算子包含。
The concept of strongly monotonicity with respect to H and G and a new kind of nonlinear set-valued operator inclusions ( NSVOI ) with ( H , η) - monotone operators are introduced in Hilbert space .
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本文证明了半序Banach空间中混合单调算子的耦合不动点的若干存在性定理,并将所得结果应用到非线性方程组的求解中。
In this paper , we prove some existence theorems of coupled fixed point of mixed monotone operators in the semi-ordering Banach space , and give some applications to nonlinear equations .
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对于寻找极大单调算子的零点,邻近点算法(PPA)是一种重要方法。
The proximal point algorithm ( PPA ) is an important method to find the zero points of maximal monotone operators .
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第三章在可分Banach空间引入了一些新的概念,如随机单调算子,随机Mann迭代序列等等。
In Chapter 3 , we introduce some new concepts such as random monotone operators , random Mann iteration and so on in a separable real Banach space .
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令E为实光滑、一致凸Banach空间,E为其对偶空间,AE×E为极大单调算子且A-10≠Φ。
Let E be a real smooth and uniformly convex Banach space with E its duality space . Let AE × E be a maximal monotone operator with A - 1 0 ≠Φ .
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应用与(H,η)单调算子相关的预解算子技巧提出了一个迭代算法逼近其解,并且讨论了由此算法产生的迭代序列的收敛特征。
Using resolvent operator technique associated with an ( H , η) - monotone operator , the authors suggest a new iterative algorithm for approximating a solution to ( NSVOI ) and also discuss the convergence criteria of iterative sequences generated by the algorithm .
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在本文的第二章,主要介绍了关于单调算子的概念和性质,并利用关于(H,η)-单调算子的预解算子技术,能够证明变分包含组解的存在性和唯一性。
In chapter two , we mainly introduce the definitions and properties of monotone operators . Using the resolvent operator associated with ( H , η) - monotone operators , we prove the existence and uniqueness of solutions for the new system of variational inclusions .
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本文通过有限维逼近的方法讨论了一类非单调算子的变分不等方程,并在所谓的(F)条件下将锐角原理推广到变分问题之中,从而得到了很一般的解的存在性。
In the paper the finite dimensional approximation method is applied to study variational inequalities equations of pseudo-monotone operators . Under ( F ) condition , acute angle principle is generalized to variation problems , and there by the existence of solution is obtained .
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本文将引入新的迭代算法,并利用Lyapunov泛函,Qr算子与广义投影算子等技巧,证明了迭代序列弱收敛于极大单调算子A的零点的结论。
A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator A by using the techniques of Lyapunov functional , Qr operator and generalized projection operator , etc.
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利用不动点定理,分别证明了在自反Banach空间中极大单调算子值域扰动的抽象结论和在Hilbert空间中m增生映射值域的扰动结果,这些结论是对以往一些工作的推广;
By using the fixed point theorems , some abstract results on perturbations of ranges for maximal monotone operators in reflexive Banach space and for m-accretive mappings in Hilbert space which are improvement to some previous works are given .
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利用含有伪单调算子的变分不等式理论,研究与椭圆型算子相关的Dirichlet边值问题,并给出了它在H1(Ω)空间中解的存在唯一性。
By using the theory of variational inequalities involving pseudomonotone operator , the existence and uniqueness of the solution of Dirichlet boundary value problem involving the elliptic operator in H ~ 1 (Ω) was studied .
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在实Hilbert空间中,利用极大单调算子的性质,建立了广义集值变分包含和不动点问题间的等价性。
Using the resolvent technique , we established the equivalence between the generalized set-valued variational inclusions and the fixed point problems , and some perturbed iterative algorithms , proved that its proximate solution converge to its exact solution in real Hilbert space .
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使用Leray-Schauder度理论研究了带紧扰动的极大单调算子的零点问题,获得了一些新的零点定理。
In this paper we study zero problems of maximal monotone operators with compact perturbations by applying the Leray-Schauder degree theory . We obtain some new zero theorems .
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运用多值分析、单调算子理论和Schauder不动点定理讨论了一类具有多点边值条件的二阶微分包含问题。
We consider a nonlinear second-order differential inclusion with a convex-valued term and nonlinear multivalued boundary conditions . Using the Schauder fixed-point theorem and techniques from multivalued analysis and from monotone operators theories , we prove the existence of a solution .
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讨论不可压缩非牛顿流体非定常流动的初边值问题,应用单调算子和Schauder不动点定理证明了解的存在唯一性与正则性。
This paper deals with the initial boundary value problem of nonsteady flow of incompressible non Newtonian fluid . Using monotone operators and Schauder ′ s fixed point theorem , we prove the existence and uniqueness and the regularity of solution .
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局部凸空间中多值单调算子的隐补问题
Implicit Complementarity Problems for Multivalued Monotone Operator in Locally Convex Spaces
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D&半连续映射及其对单调算子方程的应用
Demicontinuous Mapping and Its Application to the Monotone Operator Equation
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一类T单调算子障碍问题的块单调迭代法
Block Monotone Iterative Methods for a Type of T-monotone Operators
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强单调算子方程解的松弛型迭代法
The Slack Iteration Method for the Solution of Strongly Monotone Operator Equations
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关于强单调算子方程的球形迭代法
On the Ball Iterative Method for Strongly Monotone Operator Equation
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非连续混合单调算子的耦合不动点定理
Theorems for coupled fixed points of discontinuous mixed monotone operators
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Φ-扩张型极大单调算子的扰动定理
Theorems of Perturbations of Φ - Expansive Maximal Monotone Operator