摘要
首先在Banach空间中给出了半变分不等式(HVI)的Levitin-Polyak适定性的概念.然后,给出了半变分不等式的Levitin-Polyak适定性的度量刻画.最后,讨论了半变分不等式HVI(A,f,j,K)的Levitin-Polyak适定性和该半变分不等式的gap函数所确定的优化问题的Levitin-Polyak适定性之间的关系.
In this paper,we introduce the concept of Levitin-Polyak well-posedness of a hemivariational inequality（in short,HVI） in Banach spaces.We establish some metric characterizations for the Levitin-Polyak well-posed hemivariational inequality.We also investigate the relationship between the Levitin-Polyak well-posedness of HVI（A,f,j,K） and the Levitin-Polyak well-posedness of optimization problem which includes the gap function of hemivariational inequality.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第6期794-801,共8页
Journal of Sichuan Normal University（Natural Science）
基金
supported by National Science Foundation of China(10701059)~~
