Lower and upper directional differentiability of the set valued maps and their applications
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, cilt.10, sa.1-3, ss.25-32, 2003 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Özet
- 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: Derivative sets and differential, Marginal function, Set valued map
- Anadolu Üniversitesi Adresli: Evet
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.