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<p>In this paper, we introduce two novel concepts of well-posedness for set optimization problems and present some results in this area. The first main result improves a recent finding in the field without employing the scalarization method. The second one establishes a new form of well-posedness for set optimization problems using a recently introduced scalarization function. To clarify our findings, we also provide corollaries and examples.</p>

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On the Hadamard well-posedness of set optimization problems: two new results

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Marziyeh Darabi,
  • Fatemeh Fakhar,
  • Hamid Reza Hajisharifi,
  • Maryam Lotfipour,
  • Zeinab Soltani

摘要

In this paper, we introduce two novel concepts of well-posedness for set optimization problems and present some results in this area. The first main result improves a recent finding in the field without employing the scalarization method. The second one establishes a new form of well-posedness for set optimization problems using a recently introduced scalarization function. To clarify our findings, we also provide corollaries and examples.