Metric characterizations for well-posedness of split hemivariational inequalities

Abstract

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.

Keywords

• Split hemivariational inequality
• Monotone operator
• Hemicontinuity
• Metric characterization