2) vector variational inequality
向量变分不等式
1.
In this paper,we first establish an equivalence between a vector variational inequality problem and a generalized variational inequality problem.
文章首先建立了向量变分不等式与广义变分不等式之间的等价关系,然后利用这个结论,建立了向量变分不等式的Levitin-Polyak适定性与广义变分不等式的Levitin- Polyak适定性之间的等价关系。
2.
A class of generalized multi-valued vector variational inequality problem(in short GMVVIP) is studied in Hausdorff topological vector space.
研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题(GMVVIP),把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理。
3.
By using the vector variational inequality related to radial epiderivative,we give a number of necessary and sufficient conditions for Henig efficiency,super efficiency and cone-super efficiency of set-valued optimization under the framework of locally convex topological vector spaces,which generalizes some known related results.
利用与仿射上导数相关的向量变分不等式的真有效性,对局部凸拓扑向量空间中的集值优化问题的Henig有效性、超有效性、锥超有效性等给出了一些充分、必要条件,从而推广了一些已知的相关结论。
3) vector variational inequalities
向量变分不等式
1.
In this paper,we introduce the concepts of efficient solution for vector variational inequalities and f-quasimonotone operator,and give an existence theorem for vector variational inequalities in Banach spases.
引进了向量变分不等式有效解以及ｆ－拟单调算子的概念，并给出了Ｂａｎａｃｈ空间中拟单调向量变分不等式的有效解的存在性定理
2.
In this paper,a class of vector variational inequalities introduced by Yu et al is investigated and the nonemptiness and compactness of solution sets for this kind of vector variational inequalities are studied under certain conditions in Hausdorff topological vector spaces.
进一步研究了Hausdorff拓扑向量空间中的一类向量变分不等式,在一定条件下证明了该向量变分不等式解的非空性和紧性。
4) vector variational-like inequality
向量似变分不等式
1.
Minty and Stampacchia vector variational-like inequality;
Minty与Stampacchia向量似变分不等式
2.
Some relations between solutions of Minty vector variational-like inequality and solutions of vector optimization problem are investigated.
讨论了Minty向量似变分不等式的解与向量优化问题的解之间的关系问题。
5) system of vector variational inequalities
向量变分不等式组
1.
In this paper,some characterizations of solutions for a system of vector variational inequalities are derived under the a.
该文研究了一类向量变分不等式组,在PPM条件下(F和-F都是伪单调),对其解进行了一些刻画此外,给出了该向量变分不等式组的一个间隙函数,并在强单调条件下,证明了它是弱尖极小的。
6) Quasi-vector variational inequality
拟向量变分不等式
1.
This paper discusses a new generalized Quasi-vector variational inequality problem of Gateaux differential mappings in Banach space and proves the existence of a solution for such a problem by the KKM theorem.
研究了Banach空间中一类G-可导映射的广义拟向量变分不等式问题,运用KKM定理证明这类问题解的存在性,并在适当的条件下证明了此类问题与Konnov I V和Yao J C等人提出的广义向量变分不等式问题是等价的。
补充资料：Harnack不等式(对偶Harnack不等式)
Harnack不等式(对偶Harnack不等式)
quality (dual Hatnack inequality) Harnack in-
【补注】一直到G的边界的H助nack不等式，见【AZI.l翻..‘不等式(对停H山丸朗k不等不)[ Har.改沁-勺函勺(d切红Hat’I犯‘k如为uaJ卿);rap.姗二p魄HcT助(月加湘oe)] 给出正调和函数的两个值之比u(x)/“(y)的上界和下界估计的一个不等式，由A.Hai，剐火(汇IJ)得到.令u)0是n维E议当d空间的区域G中的一个调和函数;令E。(y)是中心在点y处半径为;的球{x:}x一y!<;}.若闭包万了刃.CG，则对于所有的、“凡(，)，o
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条