23 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
Variational inequalities characterizing weak minimality in set optimization
Giovanni P. Crespi, MatteoRocca, Carola Schrage
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions in terms of scalarized variational inequalities of Stampacchia and Minty type, re…
A Minty variational principle for set optimization
Giovanni P. Crespi, Andreas H. Hamel, Carola Schrage
Extremal problems are studied involving an objective function with values in (order) complete lattices of sets generated by so called set relations. Contrary to the popular paradig…
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…
Scalar Representation and Conjugation of Set-Valued Functions
Carola Schrage
To a function with values in the power set of a pre-ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function…