Essential component of the solution set for symmetric vector quasi-equilibrium problems under condition of cone-convexity
Wang Jin-duo · Journal of Nanchang University · 2012
The existence problem of the essential component for vector equilibrium problems'solution set becomes an important part in the stability of nonlinear problems.Chen and Gong ever investigated the existence of essential component of the solution set for quasi-convex symmetric vector quasi-equilibrium problems when the objective functions were fixed.In 2010,Chen Jian-Chen and Gong Xun-Hua studied the generic stability of the solution set for symmetric vector quasi-equilibrium problem under the condition of cone-convexity.The essential component of the solution set for symmetric vector quasi-equilibrium problems under the condition of cone-convexity were discussed on the base of their Lemma.It obtained an essential component existence theorem when the objective functions are perturbed.