Well-Posedness of the Split Inverse Variational Inequality Problem

Abstract

The aim of this paper is to study the well-posedness of the split inverse variational inequality problem. We extend the notion of well-posedness to the split inverse variational inequality problem and establish Furi–Vignoli-type characterizations for the well-posedness. We prove that the well-posedness of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.