3 papers
math.FA2021
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…
math.OC2020
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…
math.OC2019
Criticality of Lagrange Multipliers in Extended Nonlinear Optimization
Hong Do, Boris Mordukhovich, M. Ebrahim Sarabi
The paper is devoted to the study and applications of criticality of Lagrange multipliers in variational systems, which are associated with the class of problems in composite optim…