Levitin-Polyak Well-posedness for equilibrium problems

Abstract

We consider Levitin-Polyak wellposedness of vector parametric equilibrium problems and improve some sufficient and necessary conditions for Levitin-Polyak wellposedness of these problems. As applications of our results, we obtain Levitin-Polyak well-posedness of generalized Minty and Stampacchia vector variational-like inequalities and vector optimization problems.