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Volume 1, Issue 3, 31 December 2019, Pages 319-335
Abstract. In this paper, we study duality schemes for vector optimization problems with respect to variable domination structures by using an appropriate extension of the so-called Gerstewitz nonlinear scalarizing functional for dealing with weakly nondominated solutions. We apply these results to multiobjective location problems with variable domination structures. For nondominated solutions, we use a general scalarizing function which is strictly monotone with respect to the domination structure. The strict monotonicity of our proposed function is also discussed.
How to Cite this Article:
Truong Quang Bao, Thanh Tam Le, Christiane Tammer, Vu Anh Tuan, Duality in vector optimization with domination structures, Appl. Set-Valued Anal. Optim. 1 (2019), 319-335.