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Banach空间中分离变分不等式的Levitin-Polyak-α适定性(英文) 被引量：4

Levitin-Polyak α-well- posedness of Split Variational Inequality in Banach Space
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摘要 首先在Banach空间中给出了分离变分不等式的Levitin-Polyak-α适定性的概念.然后讨论了分离变分不等式解集的等价表述.最后,给出了分离变分不等式的Levitin-Polyak-α适定性的Furi-Vignoli型度量刻画. In this paper,we generalize the concept of Levitin-Polyak α-well-posedness to a split variational inequality in Banach space.We study the equivalent statements of the solution set of split variational inequality.We also give some characterizations of Levitin-Polyak α-well-posedness for a split variational inequality.
作者 夏福全 黎小波
机构地区 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第3期430-434,共5页 Journal of Sichuan Normal University（Natural Science）
基金 This work was supported by the NSF of Sichuan Education Department of China(09ZA091) the Ph.D.Programs Foundation of Ministry of Education of China(20105134120002) the Key Science and Technology Projects of Ministry of Education of China(212147) Applied Research Project of Sichuan Province(2010JY0121)~~
关键词 分离变分不等式 Levitin-Polyak-α适定性 度量性质 split variational inequality Levitin-Polyak α-well-posedness metric characterization
分类号 O176.3 [理学—基础数学] O178 [理学—基础数学]
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参考文献18

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同被引文献65

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引证文献4

二级引证文献5

四川师范大学学报（自然科学版）
2012年 第3期

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