Scholarlink

<p>In this manuscript, we consider a bi-level optimization problem with multiple fractional objectives. To solve this problem, we reformulate it into a single-level optimization problem through <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12597_2025_1042_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Psi \)</EquationSource> </InlineEquation>-function. Our analysis yields both necessary and sufficient optimality conditions by utilizing the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12597_2025_1042_Article_IEq3.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\bar{\partial }^{*}_\varepsilon \)</EquationSource> </InlineEquation>-Abadie constraint qualification and a novel generalized convexity based on <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12597_2025_1042_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> </InlineEquation>-upper convexificators. To conclude our theoretical exposition, we provide illustrative examples that clearly demonstrate our accomplishments.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Approximate optimality conditions for multiobjective fractional bi-level optimization problem in terms of \(\varepsilon \)-convexificators

  • 期刊论文

  • 发表日期：

    2025年10月28日

查看全文
  • Rishabh Pandey,
  • Yogendra Pandey,
  • Vinay Singh

摘要

In this manuscript, we consider a bi-level optimization problem with multiple fractional objectives. To solve this problem, we reformulate it into a single-level optimization problem through \(\Psi \) -function. Our analysis yields both necessary and sufficient optimality conditions by utilizing the \(\bar{\partial }^{*}_\varepsilon \) -Abadie constraint qualification and a novel generalized convexity based on \(\varepsilon \) -upper convexificators. To conclude our theoretical exposition, we provide illustrative examples that clearly demonstrate our accomplishments.