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Stampacchia型和Minty型似变分不等式解的性质 被引量：1

The Properties of the Solution in Stampacchia-Type and Minty-Type Variational-Like Inequalities
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摘要 在实n维欧式空间Rn中利用上Dini方向导数构造了Minty型似变分不等式的间隙函数G(x),并在此基础上讨论了Stampacchia型和Minty型这两类似变分不等式的解与G(x)的关系,得到了2类似变分不等式解集相等的1个充分条件. Gap function G（x） of the Minty-type variational-like inequalities was constructed by upper Dini directional derivative in a real n-dimensional Euclidean space.And some relations between solutions of Stampacchia-type and Minty-type variational-like inequalities and G（x） are investigated.A sufficient condition of two class of variational-like inequality solution sets equal is obtained.
作者 赵亮 刘学文
机构地区 重庆师范大学数学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2012年第6期598-601,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(11001289) 重庆市教委科研(KJ100608)资助项目
关键词 解集 伪单调 间隙函数 似变分不等式 solution set pseudomonotone gap function variational-like inequalities
分类号 O110.74 [理学—基础数学]
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参考文献12

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共引文献2

同被引文献11

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引证文献1

江西师范大学学报（自然科学版）
2012年 第6期

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