Gap Functions and Error Bounds for a Class of Inverse Quasi-variational Inequality System in Hilbert Spaces

Abstract

In this paper, we introduce and study a class of inverse quasi-variational inequality system in real Hilbert spaces. First, we prove the existence of solutions for the inverse quasi-variational inequality system under some suitable conditions. Then, the different gap functions for the inverse quasi-variational inequality system are also established. Finally, we use the given gap functions to obtain the local/global error bounds for the inverse quasi-variational inequality system. Our results are new and extend some previously known results.