Abstract： The well-posedness for Symmetric Vector Quasi-equilibrium Problems in real Banach topological vector spaces was studied.The well-posedness and uniquely well-posed for symmetric vector quasi-equilibrium problems were defined in terms of the conception of the approximating solution sequence.It showed that under suitable conditions,the well-posedness was equivalent to the limit of the Hausdorff distance between ε-approximating solution set.The solution set of the symmetric vector quasi-equilibrium problems was found to be zero when ε→0.The necessary and sufficient conditions for the uniquely well-posedness was that the solution set should be nonempty,as well as the limit of the diameter of ε-approximating solution set was zero when ε→0.
2012, Vol. 36 
