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<p>This paper studies various reciprocal results for the study of some optimization models, recently introduced and partial investigated in (Treanţă and Alsalami,&#xa0;Math (<CitationRef CitationID="CR26">2025</CitationRef>)). We state some duality relationships between the considered dual models and the primal/original family of optimization problems. The presence of control variables and the innovative proofs associated with the principal results derived in this study give the essential and crucial role of this research paper, compared with the previous research works.</p>

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Reciprocal results for the study of some optimization models

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月22日

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  • Savin Treanţă

摘要

This paper studies various reciprocal results for the study of some optimization models, recently introduced and partial investigated in (Treanţă and Alsalami, Math (2025)). We state some duality relationships between the considered dual models and the primal/original family of optimization problems. The presence of control variables and the innovative proofs associated with the principal results derived in this study give the essential and crucial role of this research paper, compared with the previous research works.