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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • Vu Van Dong,
  • Nguyen Nang Tam

摘要

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.