Lower and upper directional differentiability of the set valued maps and their applications

Guseinov K., Kucuk Y., Ekici E.

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, cilt.10, sa.1-3, ss.25-32, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1-3
  • Basım Tarihi: 2003
  • Dergi Adı: DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.25-32
  • Anahtar Kelimeler: set valued map, derivative sets and differential, marginal function, MAXIMUM PRINCIPLE
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this paper the lower and upper directional differentiability concepts of the set valued maps are introduced and the directional differentiability properties of the marginal functions are studied. Sufficient condition ensuring the existence of the directional derivative of the marginal function is obtained.