Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods
Y. D. Xu, S.J. Li · Applicable Analysis · 2014
In this paper, a vector network equilibrium problem with capacity constraints of arcs is studied. By virtue of Fan-Browder’ fixed point theorem, an existence result of a (weak) vector equilibrium flow is derived. By using nonlinear scalarization methods, some sufficient and necessary conditions for a weak vector equilibrium flow are obtained.