Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems
Qingyou Liu, Xian-Jun Long, Nan‐jing Huang · Mathematica Slovaca · 2011
Abstract In this paper, a generalized vector equilibrium problem is introduced and studied. A scalar characterization of weak efficient solutions for the generalized vector equilibrium problem is obtained. By using the scalarization result, the existence of the weak efficient solutions and the connectedness of the set of weak efficient solutions for the generalized vector equilibrium problem are proved in locally convex spaces.