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<p>The paper continues our recent work (Cuong et al. in Optimization 73(12):3593–3607, <CitationRef CitationID="CR7">2024</CitationRef>) where another extension of the <i>extremal principle</i> has been established. We demonstrate its applicability to set-valued optimization problems with general preferences, weakening the assumptions of the known results and streamlining their proofs.</p>

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Extremality of Families of Sets and Set-Valued Optimization

  • 期刊论文

  • 发表日期：

    2025年6月5日

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  • Nguyen Duy Cuong,
  • Alexander Y. Kruger,
  • Nguyen Hieu Thao

摘要

The paper continues our recent work (Cuong et al. in Optimization 73(12):3593–3607, 2024) where another extension of the extremal principle has been established. We demonstrate its applicability to set-valued optimization problems with general preferences, weakening the assumptions of the known results and streamlining their proofs.