Scholarlink

<p>In this paper, we introduce the notion of normal cone to a set in the setting of groups. With appropriate assumptions on the groups involved, we establish various calculus rules including the normal cone intersection rule and the subdifferential sum rule. These results in turn lead to optimality conditions for constrained optimization problems in terms of normal cones and subdifferentials.</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

Normal Cones in Groups and Optimality Conditions

  • 期刊论文

  • 发表日期：

    2025年11月3日

查看全文
  • Meenakshi,
  • Anveksha Moar,
  • C. S. Lalitha

摘要

In this paper, we introduce the notion of normal cone to a set in the setting of groups. With appropriate assumptions on the groups involved, we establish various calculus rules including the normal cone intersection rule and the subdifferential sum rule. These results in turn lead to optimality conditions for constrained optimization problems in terms of normal cones and subdifferentials.