Well-posedness For Parametric Strong Vector Equilibrium Problems And Symmetric Vector Quasi-equilibrium Problems

In this paper, first, we studied the well-posedness for parametric strong vector equilibrium problems in real Hausdorff topological vector spaces. It showed that under suitable conditions, the well-posedness defined by approximating solution nets is equivalent to the upper semicontinuity of the solution mapping. Further, it gaves sufficient conditions to two kinds of well-posedness. Then, we studied the well-posedness for symmetric vector quasi-equilibrium problems in real Banach topological vector spaces. We obtain the well-posedness and uniquely well-posed for the problems by the limit of Hausdorff distance and diameter of the approximating solution nets respectively.