A REMARK ON THE REGULARIZED GAP FUNCTION FOR IQVI

Abstract

Aussel et al. [1] introduced the notion of inverse quasivariational inequalities (IQVI) by combining quasi-variational inequalities and inverse variational inequalities. Discussions are made in a finite dimensional Euclidean space. In this note, we develop an infinite dimensional version of IQVI by investigating some basic properties of the regularized gap function of IQVI in a Banach space.

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