DIRECTIONAL CONVEX EXTENSIONS OF THE CONVEX VALUED MAPS

Duzce S. A., Guseinov K. G.

JOURNAL OF APPLIED ANALYSIS, cilt.15, sa.1, ss.129-138, 2009 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1515/jaa.2009.129
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.129-138
  • Anahtar Kelimeler: Set valued map, directional convex extension, derivative set
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, the concept of directional convex extension of the convex valued maps is introduced. Necessary and sufficient conditions for the existence of the directional convex extension of the convex valued map are obtained.