Essential components of the set of solutions for the system of vector quasi-equilibrium problems
Xun-Hua Gong, Jian-Chen Chen · Journal of Inequalities and Applications · 2012
In this paper, we prove that, for every vector quasi-equilibrium problem, there exists at least one essential component of the set of its solutions. As application, we show that, for every system of vector quasi-equilibrium problems, there exists at least one essential component of the set of its solutions in the uniform topological space of objective functions and constraint mappings.