18 citations · 23 across the 13 of their papers we have counts for
13 papers
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…
Fenchel-Rockafellar Theorem in Infinite Dimensions via Generalized Relative Interiors
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we provide further studies of the Fenchel duality theory in the general frame work of locally convex topological vector (LCTV) spaces. We prove the validity of the Fe…
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…
A DC Programming Approach for Solving Multicast Network Design Problems via the Nesterov Smoothing Technique
W. Geremew, N. M. Nam, A. Semenov +2
This paper continues our effort initiated in [9] to study Multicast Communication Networks, modeled as bilevel hierarchical clustering problems, by using mathematical optimization…
Convergence Analysis of a Proximal Point Algorithm for Minimizing Differences of Functions
Nguyen Thai An, Nguyen Mau Nam
Several optimization schemes have been known for convex optimization problems. However, numerical algorithms for solving nonconvex optimization problems are still underdeveloped. A…