Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Advance publication (2019), 14 pages.
Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative
In this study, a new directional derivative is defined by using Minkowski difference. Some properties and existence theorems of this directional derivative are given. Moreover, necessary and sufficient optimality conditions are presented for set-valued optimization problems with respect to $m_1$ order relation via directional derivative.
Taiwanese J. Math., Advance publication (2019), 14 pages.
First available in Project Euclid: 10 July 2019
Permanent link to this document
Digital Object Identifier
Karaman, Emrah; Soyertem, Mustafa; Güvenç, İlknur Atasever. Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative. Taiwanese J. Math., advance publication, 10 July 2019. doi:10.11650/tjm/190604. https://projecteuclid.org/euclid.twjm/1562724021