8 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Duality Theory on Vector Spaces
Dang Van Cuong, Tuyen Tran
In this paper, we study the Fenchel-Rockafellar duality and the Lagrange duality in the general frame work of vector spaces without topological structures. We utilize the geometric…
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…
Quasi-Relative Interiors for Graphs of Convex Set-Valued Mappings
Dang Van Cuong, Boris S. Mordukhovich, Nguyen Mau Nam
This paper aims at providing further studies of the notion of quasi-relative interior for convex sets introduced by Borwein and Lewis. We obtain new formulas for representing quasi…
Subgradients of Minimal Time Functions without Calmness
Nguyen Mau Nam, Dang Van Cuong
In recent years there has been great interest in variational analysis of a class of nonsmooth functions called the minimal time function. In this paper we continue this line of res…
Generalized Differentiation and Characterizations for Differentiability of Infimal Convolutions
Nguyen Mau Nam, Dang Van Cuong
This paper is devoted to the study of generalized differentiation properties of the infimal convolution. This class of functions covers a large spectrum of nonsmooth functions well…