An analysis of some dual problems in multiobjective optimization (II)

In the first part of this study we introduced six different multiobjective dual problems to a general multiobjective optimization problem, for which we presented weak as well as strong duality assertions. Afterwards, we derived some inclusion results for the image sets of three of these problems. The aim of this second part is to complete our investigations by studying the relations between all six multiobjective dual problems. Moreover, conditions under which the dual problems are equivalent are given. The results are illustrated by some examples. A general scheme containing the relations between the six multiobjective duals and other duals mentioned in the literature is derived.