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1)  Multi valued monotone mapping
多值单调映象
2)  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。
3)  set-valued monotone mapping
集值单调映象
1.
The concept of set-valued monotone mapping in Linear 2-normed space was introduced,several new propositions concerning were obtained.
在线性2-赋范空间中引入了集值单调映象,并得出了几个有关的新命题。
4)  pseudomonotone set-valued bifunction
伪单调集值映象
1.
We study some classes of generalized vector equilibrium problems with pseudomonotone set-valued bifunctions in FC-spaces.
在FC-空间内引入和研究了几类含伪单调集值映象的广义向量平衡问题。
5)  nonnomotone multivalued mapping
非单调多值映射
6)  single-valued mapping
单值映象
1.
Under the conditions of compatibility or sub-compatibility between a set-valued mappingand a single-valued mapping, the existence of cotnnlon fixed points for two set-valued mapping and a single-valued mapping in complete metric space is discussed.
在集值映象与单值映象相容或次相容的条件下,讨论了度量空间中两个集值映象和一个单位映象的公共不动点的存在性,改进和推广了一些相应结果。
2.
The sufficient and necessary conditions of two single-valued mapping and a set-valued mapping with the only common fixed point in complete metric space are discussed.
研究了完备度量空间中两个单值映象和一个集值映象有唯一公共不动点的充要条件,改进了已有文献的有关结果。
3.
With the use of some conditions of compatibility or sub-compatibility of a single-valued mapping with a set-valued mapping,the common fixed point theorems of single-valued mapping pair and set -mapping pair in complete metric spaces are deduced.
利用单值映象与集值映象相容或次相容的一些条件,给出了完备度量空间中单值映象对和集值映象对的公共不动点定理。
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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