Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
Rabian Wangkeeree, Panatda Boonman, Pakkapon Preechasilp · Journal of Inequalities and Applications · 2014
In this paper, we obtain sufficient conditions for the lower semicontinuity of an approximate solution mapping for a parametric generalized vector equilibrium problem involving set-valued mappings. By using a scalarization method, we obtain the lower semicontinuity of an approximate solution mapping for such a problem without the assumptions of monotonicity and compactness.