The existence and stability of solutions for vector quasiequilibrium problems in topological order spaces

In a topological sup-semilattice,we established a new existence result for vector quasiequilibrium problems. by the analysis of essential stabilities of maximal elements in a topological sup-semilattice,we prove that for solutions of each vector quasi-equilibrium problem,there exists a connected minimal essential set which can resist the perturbation of the vector quasi-equilibrium problem. © 2013 qi-qing song.