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math.OC2021
Genericity of well-posed vector optimization problems
Matteo Rocca
In this paper we consider well-posedness properties of vector optimization problems with objective function where and are Banach spaces and is partially or…
math.OC2018★ 4 cited
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.…
math.OC2014★ 3 cited
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…