Abstract
In this paper, some stability results concerning the lower semicontinuity and the Hausdorff upper semicontinuity of the efficient solution mappings to a class of parametric generalized vector equilibrium problems are given under suitable conditions with neither the monotonicity of mappings nor any information of the solution mappings. By the strict $C$-concavity and $C$-convexlikeness of the mappings, the lower semicontinuity of the efficient solution mapping to the parametric generalized vector equilibrium problem is obtained. Moreover, the Hausdorff upper semicontinuity of the efficient solution mapping to the parametric generalized vector equilibrium problem is proved by using the scalarization method.
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