Time: 14h, Monday, April 13, 2015

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: The notion of s-quasiconvex function is presented  from  the paper “Stable Generalization of convex functions”  by H.X.Phu and P. T. An. These functions  are quasiconvex, expilicitly quasiconvex, and pseudoconvex if they are continuously differentiable. Especially, the s-quasiconvexity is stable with repect to the following important properties (P1) all power level sets are convex, (P2) each local minimum is global minimum is a global minimum, and (P3) each stationary point is a global minimizer.