1) generalized vector quasi-equilibrium problems
广义向量拟平衡问题
1.
In this thesis, the definitions of Levitin-Polyak well-posedness are extended to vector equilibrium problems and two classes of generalized vector quasi-equilibrium problems.
本文将Levitin-Polyak适定性概念推广到了向量平衡问题和两类广义向量拟平衡问题中。
2) the generalized vector quasi-equilibrium problem
广义向量拟均衡问题
1.
This text mainly study the strong vector equilibrium problems,the generalized vector equilibrium problems , the generalized vector quasi-equilibrium problems and the parametric vector equilibrium problem, made by the Fan-KKM theorem,the generalized section theorem and the generalized Fan-Browde fixed point theorem.
本文主要运用了KKM定理、广义截口定理及推广Fan-Browder的不动点定理等，研究了强向量平衡问题、弱广义向量均衡问题、弱广义向量拟均衡问题和参数向量均衡问题。
3) generalized strong vector quasi-equilibrium problems
广义强向量拟均衡问题
1.
The solvability of a class of generalized strong vector quasi-equilibrium problems(GSVQEP) with set-valued maps are studied.
讨论了一类具集值映射的广义强向量拟均衡问题(GSVQEP)解的存在性。
5) generalized vector quasi_equilibrium problem
广义矢量拟平衡问题
1.
Some classes of generalized vector quasi_equilibrium problems (in short,GVQEP) are introduced and studied in locally G_convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi_equilibrium problems and quasi_variational inequality problems as special cases.
在局部G_凸空间内引入和研究了几类广义矢量拟平衡问题(GVQEP)· 包含了大多数广义矢量平衡问题,广义矢量变分不等式问题,拟平衡问题和拟变分不等式问题作为特殊情形· 首先在局部G_凸空间内对一人对策证明了一个平衡存在性定理· 作为应用,在非紧局部G_凸空间内对GVQEP的解建立了某些新的存在定理· 这些结果和论证方法与最近文献中的结果和论证方法相比较是新的和完全不同的·
6) generalized symmetric vector quasi-equilibrium problem
广义对称向量拟平衡问题
1.
In this paper,a generalized symmetric vector quasi-equilibrium problem is intro- duced,which is a generalization of a symmetric vector quasi-equilibrium problem of vector- valued mappings.
本文提出了一类集值映射的广义对称向量拟平衡问题。
2.
In this thesis, we study three problems: Ekeland’s variational principle for set-valued mappings, an equivalent result between a variant of Ekeland’s variational principles and a minimization theorem for set-valued mappings, and the existence results for the solutions of a generalized symmetric vector quasi-equilibrium problem.
本文主要研究了三类问题:集值映射的Ekeland变分原理,一类集值映射的Ekeland变分原理与极小化定理的等价性和一类集值映射的广义对称向量拟平衡问题,具体内容如下: 首先,利用非线性标量化函数和半距离函数的Ekeland变分原理,证明了关于一类集值映射的Ekeland变分原理。
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
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