Convergence of the Relative Pareto Efficient Sets

Abstract

The aim of this paper is to present new results on the convergence of relative Pareto efficient sets and the lower semicontinuity of relative Pareto efficient point multifunctions under perturbations. Our results extend some results of Luc et al. [16, Theorem2.1], Bednarczuk [4, Theorem 4] and [5, Proposition 3.1], Lucchetti and Miglierina [17, Proposition 3.1]. Some remarks and examples are provided for analysing the results obtained and for comparing them with the preceding results.