Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
Rabian Wangkeeree, Thanatporn Bantaojai, Panu Yimmuang · Journal of Inequalities and Applications · 2015
We consider the well-posedness for lexicographic vector equilibrium problems and optimization problems with lexicographic equilibrium constraints in metric spaces. Sufficient conditions for a family of such problems to be (uniquely) well-posed at the reference point are established. Numerous examples are provided to explain that all the assumptions we impose are very relaxed and cannot be dropped.