Optimality Conditions forε-Vector Equilibrium Problems
LU Wei-zhong, Shou-jun Huang, Yang Jun · Abstract and Applied Analysis · 2014
By virtue of the separation theorem of convex sets, a necessary condition and a sufficient condition forε-vector equilibrium problem with constraints are obtained. Then, by using the Gerstewitz nonconvex separation functional, a necessary and sufficient condition forε-vector equilibrium problem without constraints is obtained.