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.
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)~~