Duality in vectorial control approximation problems with inequality restrictions

Duality for the Multiobjective Location Model Involving Sets as Existing Facilities

“…Among the large number of papers and books dealing with different approaches to multiobjective duality we mention as a representative selection the books [6], [8], [16] and the papers [3], [11], [12], [17], [20], [22], [24] and [25]. Beside presentations in the sense of approaches for general formulated problems there are a lot of contributions devoted to the duality for multiobjective programming problems of special type, as for example linear problems [7], location and approximation problems [18], [20], portfolio optimization problems [19], [21], etc. In this paper, applying the conjugacy approach and using an appropiate perturbation as the authors in [2], we construct a dual for (P λ ) and we prove the existence of strong duality between them.…”