On the metric charactrization for well-posedness of k-split hemivariational-like inequalities

Abstract

In this paper, we extend the concept of well-posedness for a class of k-split hemivariational like inequalities and characterize some conditions for the well-posedness of it. Then we show that Tykhonov well-posedness for this family of k-split hemivariational like inequalities is equivalent to the existence and uniqueness of solution.