Scholarlink

<p>We provide a novel <i>analytical</i> proof of an <i>improved</i> version of Nour and Takche (J Convex Anal, 2025, Theorem 3.1), showing that the complement of a closed set satisfying the extended exterior sphere condition is nothing but the union of closed balls with lower semicontinuous radius function. The improvement lies in the radius function, which is now <i>larger</i> than the one used in Nour and Takche (2025, Theorem 3.1).</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

The complement of a closed set satisfying the extended exterior sphere condition

  • 期刊论文

  • 发表日期：

    2025年3月28日

查看全文
  • Chadi Nour,
  • Jean Takche

摘要

We provide a novel analytical proof of an improved version of Nour and Takche (J Convex Anal, 2025, Theorem 3.1), showing that the complement of a closed set satisfying the extended exterior sphere condition is nothing but the union of closed balls with lower semicontinuous radius function. The improvement lies in the radius function, which is now larger than the one used in Nour and Takche (2025, Theorem 3.1).