| Minty与Stampacchia向量似变分不等式 |
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| 引用本文： | 王庆东,侯海军,肖刚.Minty与Stampacchia向量似变分不等式[J].安徽大学学报(自然科学版),2008,32(4). |
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| 作者姓名： | 王庆东 侯海军 肖刚 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000;西安电子科技大学,理学院,陕西,西安,710071 |
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| 摘 要： | 讨论两类向量似变分不等式解的关系问题,指出当定义在不变凸集上的映射是不变伪单调连续时,Minty(强)弱向量似变分不等式的解和Stampacchia(强)弱向量似变分不等式的解相同.尤其当定义在不变凸集上的矩阵映射是广义不变伪单调连续时,Minty强向量似变分不等式的解和Stampacchia向量似变分不等式的解相同.
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| 关 键 词： | 向量似变分不等式 不变凸集 不变伪单调映射 |
Minty and Stampacchia vector variational-like inequality |
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| WANG Qing-dong,HOU Hai-jun,XIAO Gang.Minty and Stampacchia vector variational-like inequality[J].Journal of Anhui University(Natural Sciences),2008,32(4). |
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| Authors: | WANG Qing-dong HOU Hai-jun XIAO Gang |
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| Abstract: | Two classes of vector variational-like inequality were investigated.Minty(strong) weak vector variational-like inequality and Stampacchia(strong) weak vector variational-like inequality had the same solution in the case that a matrix-valued function defined on invex set was a continuous invariant pseudomonotone mapping.Particularly,in the case of generalized invariant pseudomonotonicity of a matrix-valued mapping,minty weak vector varation-like inequality and Stampacchia vector variational-like inequality had the same solution. |
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| Keywords: | vector variational-like inequality invex set invariant pseudomonotone mapping |
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