Metric characterizations for well-posedness of split hemivariational inequalities

Journal of Inequalities and Applications

Rong Hu¹  Yi-bin Xiao¹  Qiao-yuan Shu² 

[1] School of Mathematical Sciences, University of Electronic Science and Technology of China;School of Mathematics and Information Engineering, Chongqing University of Education;

关键词: Split hemivariational inequality;    Monotone operator;    Hemicontinuity;    Metric characterization;   

DOI  :  10.1186/s13660-018-1761-4

来源: DOAJ

【 摘 要 】

Abstract In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature.

【 授权许可】

Unknown