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Vector-valued perturbed equilibrium problems
Authors:Catherine Finet  Lucas Quarta
Institution:Institut de Mathématique, Université de Mons-Hainaut, Le Pentagone, Avenue du Champ de Mars, 6, B-7000 Mons, Belgium
Abstract:The goal of this paper is to prove some general vector-valued perturbed equilibrium principles and some existence results of vector equilibrium points for bifunctions satisfying a new natural notion of lower semi-continuity. We obtain these results by going through a new concept of approximative equilibrium point.
Keywords:Equilibrium problems  Lower semi-continuity  Variational principles  Vector-valued perturbed equilibrium principles
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