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Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
This paper addresses the study and applications of polyhedral duality of locally convex topological vector (LCTV) spaces. We first revisit the classical Rockafellar's proper separa…
Convex Analysis of Minimal Time and Signed Minimal Time Functions
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we first consider the class of minimal time functions in the general setting of locally convex topological vector (LCTV) spaces. The results obtained in this framewor…
Extremal Systems of Convex Sets with Applications to Convex Calculus in Vector Spaces
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam
In this paper we introduce and study the concept of set extremality for systems of convex sets in vector spaces without topological structures. Characterizations of the extremal sy…