Tangent metric spaces to starlike sets on the plane

Dovgoshey O., ABDULLAYEV F., Küçükaslan M.

Journal of Nonlinear and Convex Analysis, cilt.14, sa.3, ss.551-581, 2013 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2013
  • Dergi Adı: Journal of Nonlinear and Convex Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.551-581
  • Anahtar Kelimeler: Metric spaces, Tangent space to convex sets, Tangent space to starlike sets, Tangent spaces to metric spaces
  • Uşak Üniversitesi Adresli: Hayır

Özet

Let A ⊆ ℂ b e a starlike set with a center a. We prove that every tangent space to A at the point o is isometric to the smallest closed cone, with the vertex a, which includes A. A partial converse to this result is obtained. The tangent space to convex sets is also discussed. © 2013.