1) maximal monotone mapping
极大单调映象
1.
In this paper, a new class of generalized nonlinear implicit quasivariational inclusions involving a set_valued maximal monotone mapping are studied.
引入和研究了一类新的涉及集值极大单调映象的广义非线性隐拟变分包含· 对此类变分包含在没有紧性假设下证明了解的存在定理· 为寻求此类变分包含的近似解,建议和分析了一个新的迭代算法· 给出了由新算法产生的迭代序列的收敛性· 作为特殊情形,也讨论了在此领域内的某些已知结果
2) maximal η-monotone mapping
极大η-单调映象
1.
This paper introduces a new class of generalized quasi-variational inclusions involving maximal η-monotone mappings in Hilbert spaces.
在Hilbert空间中,介绍一类新的涉及极大η-单调映象的广义拟变分包含。
2.
This paper introduces and studies a new class of completely general nonlinear implicit quasi-variational inclusions involving maximal η-monotone mappings.
引入和研究了一类新的含极大η-单调映象的完全广义非线性隐拟变分包含。
3) maximal η-montone mapping
极大η-单调映象
1.
In this paper,we introduce and study a new class of general variational inclusions involving maximal η-montone mappings in Hibert spaces and construct a algorithm for solving this class of general variational inclusions by using the resolvent operator technique for maximal η-montone mapping.
应用预解算子方法,引入和研究了H ilbert空间中一类新的关于极大η-单调映象的广义变分包含,用预解算子方法构造了这类变分包含解的迭代算法,并给出了由此迭代算法生成迭代序列的收敛性分析。
4) maximal η-monotone mappings
极大η-单调映象
1.
The author introduced a new class of generalized implicit quasi-variational inclusion involving maximal η-monotone mappings in Hilbert space H.
作者引入了Hilbert空间中一类关于极大η-单调映象的广义隐拟变分包含,并利用预解算子技术建立了这类变分包含解的迭代算法逼近,证明了其解的存在性以及由算法生成的迭代序列的收敛性。
5) multi-valued maximal monotone mapping
多值极大单调映象
1.
The purpose is to present an iterative scheme for finding a common element of the set of solutions of the variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mappings and the set of fixed points of nonexpansive mappings in Hilbert space.
介绍了一种新的迭代算法,在Hilbert空间的框架下,用以寻求具多值极大单调映象和逆-强单调映象的变分包含的解集与非扩张映象的不动点集的公共元。
2.
A strong convergence theorem for quasi variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mapping and fixed point problems with nonexpansive mappings in Hilbert spaces were discussed.
给出了在Hilbert空间中,关于多值极大单调映象和α-逆强单调映象的拟变分包含问题和关于非扩张映象的不动点问题的一个强收敛定理,推广了张石生等人的主要结果。
6) sum of maximal monotone mappings
极大单调映象之和
补充资料:映象
客观事物在人的头脑中以感觉、观念或思想等形式的再现。是客观事物作用于人脑和人脑进行反映活动的结果。实践是客观事物映象的来源。人脑中关于客观事物的映象,都是在具体实践条件下,人脑对客观事物的近似正确的或错误的反映。
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