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Volume 6, Issue 2, 1 April 2022, Pages 101-111
Abstract. We consider set optimization problems governed by the upper set less relation introduced by Kuroiwa. We extend some known results from the literature to a setting that includes (a) variable domination structures and (b) approximate solution concepts and show characterization results by means of inequalities involving duality products. The used notion of optimality is the set approach, and the variable domination structure builds upon comparisons solely dependent on elements in the objective space but the two-argument case. The involved approximate solution concepts build on previous work by Gutiérrez and co-workers.
How to Cite this Article:
E. Köbis, M.A. Köbis, Approximate elements for set optimization problems with respect to variable domination structures, J. Nonlinear Var. Anal. 6 (2022), 101-111.