M. D. Fajardo Gomez
In this work we deal with set-valued functions with values in the power set of a separated locally convex space where a nontrivial pointed convex cone induces a partial order relation. A set-valued function is evenly convex if its epigraph is an evenly convex set, i.e., it is the intersection of an arbitrary family of open half-spaces. We characterize evenly convex set-valued functions as the pointwise supremum of its set-valued e-affine minorants.
Keywords: Evenly convex sets, set-valued functions, partially ordered spaces
Scheduled
GT13.OPTCONT5 Invited Session
November 9, 2023 3:30 PM
HC4: Sacristía Room