9 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
The inf-translation for solving set minimization problems
Andreas H Hamel, Frank Heyde, Daniela Visetti
Set- and vector-valued optimization problems can be re-formulated as complete lattice-valued problems. This has several advantages, one of which is the existence of a clear-cut sol…
Set Relations and Approximate Solutions in Set Optimization
Giovanni Crespi, Andreas H Hamel, Matteo Rocca +1
Via a family of monotone scalar functions, a preorder on a set is extended to its power set and then used to construct a hull operator and a corresponing complete lattice of sets.…
A set optimization approach to zero-sum matrix games with multi-dimensional payoffs
Andreas H. Hamel, Andreas Loehne
A new solution concept for two-player zero-sum matrix games with multi-dimensional payoff is introduced. It is based on extensions of vector orders in K-dimensional spaces to order…
Directional derivatives and subdifferentials of set-valued convex functions
Andreas H. Hamel, Carola Schrage
A new directional derivative and a new subdifferential for set-valued convex functions are constructed, and a set-valued version of the so-called 'max-formula' is proven. The new c…