17 research outputs found
Set optimization - a rather short introduction
Full text linkRecent 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-valued functions, and duality for set optimization
problems. Extensive sections with bibliographical comments summarize the state
of the art. Applications to vector optimization and financial risk measures are
discussed along with algorithmic approaches to set optimization problems
On the Metric Space of Closed Subsets of a Metric Space and Set-Valued Maps with Closed Images
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Preservation of persistence and stability under intersections and operations, part 1: Persistence
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