Scholarlink

<p>We present sufficient conditions to guarantee the existence of solutions for nonconvex semi-infinite optimization problems. These conditions are also employed to establish the lower semicontinuity of the value function at 0. Furthermore, we extend classical results from convex analysis to characterize the global properties of quasiconvex functions based on their behavior at individual points. Our findings generalize and complement existing approaches, addressing problems that extend beyond the scope of previous results.</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

Asymptotic Analysis for a Class of Quasiconvex Semi-Infinite Programming Problems

  • 期刊论文

  • 发表日期：

    2025年8月18日

查看全文
  • Stephanie Caro,
  • Filip Thiele

摘要

We present sufficient conditions to guarantee the existence of solutions for nonconvex semi-infinite optimization problems. These conditions are also employed to establish the lower semicontinuity of the value function at 0. Furthermore, we extend classical results from convex analysis to characterize the global properties of quasiconvex functions based on their behavior at individual points. Our findings generalize and complement existing approaches, addressing problems that extend beyond the scope of previous results.