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<p>In this note, using tools from asymptotic analysis, we establish sufficient conditions for the existence of error bounds at infinity for inequality constrained systems. We also show that these results are useful for studying the existence of global error bounds for constrained systems and the well-posedness of optimization problems.</p>

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A note on the error bound at infinity for nonconvex inequality systems via asymptotic analysis

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Le Ngoc Kien,
  • Nguyen Van Tuyen,
  • Tran Van Nghi,
  • Nguyen Huy Hung

摘要

In this note, using tools from asymptotic analysis, we establish sufficient conditions for the existence of error bounds at infinity for inequality constrained systems. We also show that these results are useful for studying the existence of global error bounds for constrained systems and the well-posedness of optimization problems.