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<p>This paper investigates the Hausdorff continuity of weak quasi-solutions to parametric set optimization problems. Employing nonlinear scalarization techniques for sets, we establish sufficient conditions for this continuity. Furthermore, parametric nonconvex uncertain vector optimization problems and welfare economic models are also discussed as applications of the main results.</p>

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Stability for set optimization problems and applications

  • 期刊论文

  • 发表日期：

    2026年5月28日

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  • Nguyen Huu Danh,
  • Pham Thanh Duoc,
  • Tran Thi Thuy Duong,
  • Pham Tran Anh Thu

摘要

This paper investigates the Hausdorff continuity of weak quasi-solutions to parametric set optimization problems. Employing nonlinear scalarization techniques for sets, we establish sufficient conditions for this continuity. Furthermore, parametric nonconvex uncertain vector optimization problems and welfare economic models are also discussed as applications of the main results.