Radon’s and helly’s theorems for B−1 −convex sets

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KEMALİ S., Yesilce I., ADİLOV G.

Filomat, cilt.35, sa.3, ss.731-735, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2298/fil2103731k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.731-735
  • Anahtar Kelimeler: Abstract convexity, B−1-convex sets, Caratheodory’s theorem, Helly’s theorem, Radon’s theorem
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Helly’s, Radon’s, and Caratheodory’s theorems are the basic theorems of convex analysis and have an important place. These theorems have been studied by different authors for different classes of convexity. Caratheodory’s theorem for B−1 −convex sets has been proved before by Adilov and Yeşilce. In this article, Helly’s and Radon’s theorems are discussed and examined for these sets.