Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Solution Existence and Stability of the Semi-Affine Variational Inequality Problem on Hilbert Spaces

Vu Van Dong , Nguyen Nang Tam

pp. 123-141

Abstract

This paper investigates the solution existence and stability of the semi-affine variational inequality problem in real separable Hilbert spaces. We demonstrate that, under suitable conditions, the solution set of the semi-affine variational inequality problem is nonempty. Additionally, we consider some related stability analyses of the problem. The obtained results contribute to and complement the existing literature.