New Results on Henig Proper Generalized Vector Quasiequilibrium Problems
Phạm Hữu Sách, Nguyen Ba Minh · Numerical Functional Analysis and Optimization · 2014
New sufficient conditions are given for the existence of solutions of a Henig proper generalized vector quasiequilibrium problem with moving cones. They are established by a new scalarizing approach, which is based on a suitable nonlinear scalarization function, proposed recently for set-valued maps in Sach and Tuan (J. Optim. Theory Appl. 157:347–364 (2013)). Examples are given to illustrate our main results.