84 citations · 422 across the 20 of their papers we have counts for
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math.OC2012★ 12 cited
Lagrange duality, stability and subdifferentials in vector optimization
Elvira Hernández, Andreas Löhne, Luis Rodríguez-Marín +1
Langrange duality theorems for vector and set optimization problems which are based on an consequent usage of infimum and supremum (in the sense greatest lower and least upper boun…
math.OC2012★ 23 cited
An Algorithm to Solve Polyhedral Convex Set Optimization Problems
Andreas Löhne, Carola Schrage
An algorithm which computes a solution of a set optimization problem is provided. The graph of the objective map is assumed to be given by finitely many linear inequalities. A solu…
math.OC2012★ 23 cited
Lagrange Duality in Set Optimization
Andreas H. Hamel, Andreas Löhne
Based on the complete-lattice approach, a new Lagrangian duality theory for set-valued optimization problems is presented. In contrast to previous approaches, set-valued versions f…