84 citations · 88 across the 6 of their papers we have counts for
7 papers
Ideals of quasi-absorbing elements in semigroups
Rico Hager, Andreas H Hamel, Frank Heyde
Motivated by situations in which the removal of a zero (a.k.a., an absorbing element) from a semigroup yields a subsemigroup with another zero, sets of quasi-zeros (a.k.a., quasi-a…
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…
Euler-Lagrange equations for multiobjective calculus of variations problems via set optimization
D. Visetti, F. Heyde
The problem of minimizing an integral functional of a vector-valued Lagrangian on a set of admissible arcs with given endpoints is considered. The problem is tackled by embedding i…
Set optimization - a rather short introduction
Andreas H. Hamel, Frank Heyde, Andreas Löhne +2
Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valu…
Continuity of Convex Set-valued Maps and a Fundamental Duality Formula for Set-valued Optimization
Frank Heyde, Carola Schrage
Over the past years a theory of conjugate duality for set-valued functions that map into the set of upper closed subsets of a preordered topological vector space was developed. For…
Geometric Duality for Convex Vector Optimization Problems
Frank Heyde
Geometric duality theory for multiple objective linear programming problems turned out to be very useful for the development of efficient algorithms to generate or approximate the…
Set-valued risk measures for conical market models
Andreas H. Hamel, Frank Heyde, Birgit Rudloff
Set-valued risk measures on with for conical market models are defined, primal and dual representation results are given. The collection of initial e…