Volume 5, Number 3, September 2009, pp. 459-463
		Moon Hee Kim and Gue Myung Lee
	Key words:
	sublinear program, optimal solutions, existence, subdifferential
Mathematices Subject Classification: 90C36, 90C46
ONLINE SUBSCRIPTION (Institutional Subscription Only) Copyright© 2009 Yokohama Publishers Back

---

	Abstract:
	A sublinear program (P), which involves a sublinear objective function and a constrained set defined by a cone-sublinear function and a closed convex cone, is considered. We show that the existence of optimal solutions for (P) is closely related to zero solution and that a condition for the existence can be expressed in terms of subdifferentials of the functions involved in (P).

On existence of optimal solution for sublinear programs

---