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<p>We propose new concepts of efficient solutions of optimization problems under uncertainty and state corresponding new counterparts of these models called optimistic and robust optimization problems. Accordingly, we define notions of pointwise and global well-posedness for both optimistic and robust optimization problems. Applying a direct approach, we establish sufficient conditions for these well-posedness properties.</p>

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Well-Posedness of vector optimistic and robust optimization problems

  • 期刊论文

  • 发表日期：

    2026年1月30日

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  • Lam Quoc Anh,
  • Tran Quoc Duy,
  • Phan Quoc Khanh

摘要

We propose new concepts of efficient solutions of optimization problems under uncertainty and state corresponding new counterparts of these models called optimistic and robust optimization problems. Accordingly, we define notions of pointwise and global well-posedness for both optimistic and robust optimization problems. Applying a direct approach, we establish sufficient conditions for these well-posedness properties.