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math.OC2022
Relationships between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets
Nguyen Ngoc Luan, Nguyen Mau Nam, Nguyen Nang Thieu +1
In this paper we study some relationships between polyhedral convex sets (PCS) and generalized polyhedral convex sets (GPCS). In particular, we clarify by a counterexample that the…
math.OC2022
Revisiting Rockafellar's Theorem on Relative Interiors of Convex Graphs with Applications to Convex Generalized Differentiation
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we revisit a theorem by Rockafellar on representing the relative interior of the graph of a convex set-valued mapping in terms of the relative interior of its domain…