Scholarlink

<p>We generalize the sum, difference, product, and chain rules for Fréchet <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-subdifferential. Also, we establish necessary optimality conditions for difference problems in terms of the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-subdifferential. Our generalizations resemble the results by Mordukhovich, Nam, and Yen (Optimization 55 (2006) 685–708) regarding Fréchet <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-subdifferential.</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

Fréchet \(\sigma \)-subdifferential calculus rules and applications

  • 期刊论文

  • 发表日期：

    2025年9月19日

查看全文
  • Mohammad Hossein Alizadeh,
  • Alireza Youhannaee Zanjani

摘要

We generalize the sum, difference, product, and chain rules for Fréchet \(\sigma \) σ -subdifferential. Also, we establish necessary optimality conditions for difference problems in terms of the \(\sigma \) σ -subdifferential. Our generalizations resemble the results by Mordukhovich, Nam, and Yen (Optimization 55 (2006) 685–708) regarding Fréchet \(\sigma \) σ -subdifferential.