Gap Functions and Existence of Solutions for a System of Generalized Vector Equilibrium Problems
Nan Lu, Yali Zhao · 2012
In this paper, a gap function for a system of generalized vector equilibrium problems (for short, SGVEP) is introduced and studied. Some necessary and sufficient conditions for the SGVEP are established. Characterizations of the solutions set for the SGVEP are also derived. Furthermore, some existence results of solutions for the SGVEP are proved.