LIPSCHITZ CONTINUITY OF AN APPROXIMATE SOLUTION MAPPING TO EQUILIBRIUM PROBLEMS
X. B. Li, S. J. Li, C. R. Chen · Taiwanese Journal of Mathematics · 2012
In this paper, with respect to Hausdorff metric, we establish the Lipschitz continuity of an approximate solution mapping for a parametric scalar equilibrium problem. Simultaneously, we give some applications to parametric optimization problems and parametric variational inequalities. Our main results are new and strengthen some results in the recent literature.