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非光滑向量似变分不等式与向量优化问题 被引量：2

Nonsmooth Vector Variational-Like Inequalities and Vector Optimization Problems
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摘要 在非光滑不变凸性的条件下讨论了上Dini方向导数形式的非光滑Minty(弱)向量似变分不等式、非光滑Stampacchia(弱)向量似变分不等式以及扰动非光滑Stampacchia(弱)向量似变分不等式这3类解集之间的关系,并得到了这3类似变分不等式问题的解与向量优化问题的(弱)有效解之间的等价条件. Some relationships among solutions of nonsmooth Minty( weak) vector variational-like inequalities,solutions of nonsmooth Stampacchia( weak) vector variational-like inequalities and solutions of perturbed nonsmooth Stampacchia( weak) vector variational-like inequalities are discussed involving Dini upper directional derivative under nonsmooth invexity. Moreover,some equivalent conditions between solutions to these three kinds of vector variational-like inequalities problems and( weakly) efficient solution to the vector optimization problems are obtained.
作者 赵亮 刘学文
机构地区 重庆师范大学数学学院
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2014年第1期72-78,共7页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(11001289) 重庆市教委科研资助项目(KJ100608)
关键词 向量似变分不等式 向量优化问题 Dini方向导数 C-伪单调 有效解 variational-like inequalities vector optimization problems Dini directional derivative C-pseudomonotone efficient solution
分类号 O224 [理学—运筹学与控制论]
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参考文献12

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二级参考文献16

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湖南师范大学自然科学学报
2014年 第1期

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