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In this paper, we deal with quasi-solutions of constrained vector optimization problems. These solutions are a kind of approximate minimal solutions and they are motivated by the Ekeland variational principle. We introduce several notions of quasi-minimality based on free disposal sets and we characterize these solutions through scalarization and Lagrange multiplier rules. When the problem fulfills...
In this work we show some relations between ε-efficiency sets obtained through well-known approximate solution concepts of vector optimization problems. In particular, we prove that various of these concepts are equivalent, in the sense that they give the same ε-efficiency sets by choosing suitable parameters. The obtained results are illustrated in the Pareto context.
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