2 citations · 4 across the 11 of their papers we have counts for
15 papers
Lagrange Multipliers and Duality with Applications to Constrained Support Vector Machine
Nguyen Mau Nam, Gary Sandine, Quoc Tran-Dinh
In this paper, we employ the concept of quasi-relative interior to analyze the method of Lagrange multipliers and establish strong Lagrangian duality for nonsmooth convex optimizat…
Qualitative Analysis and Adaptive Boosted DCA for Generalized Multi-Source Weber Problems
Vo Si Trong Long, Nguyen Mau Nam, Tuyen Tran +1
This paper has two primary objectives. First, we investigate fundamental qualitative properties of the generalized multi-source Weber problem formulated using the Minkowski gauge f…
Generalized Relative Interiors and Generalized Convexity in Infinite Dimensions
Vo Si Trong Long, Boris Mordukhovich, Nguyen Mau Nam
This paper focuses on investigating generalized relative interior notions for sets in locally convex topological vector spaces with particular attentions to graphs of set-valued ma…
Fenchel Conjugate of Set-Valued Mappings
Nguyen Mau Nam, Gary Sandine, Nguyen Nang Thieu +1
In this paper, we present a novel concept of the Fenchel conjugate for set-valued mappings and investigate its properties in finite and infinite dimensions. After establishing the…
Nearly Convex Optimal Value Functions and Some Related Topics
Nguyen Quang Huy, Nguyen Mau Nam, Nguyen Dong Yen
In this paper, we introduce new properties of the relative interior calculus for nearly convex sets, functions, and set-valued mappings. These properties are important for the deve…
Properties of Generalized Polyhedral Convex Multifunctions
Nguyen Ngoc Luan, Nguyen Mau Nam, Nguyen Dong Yen
This paper presents a study of generalized polyhedral convexity under basic operations on multifunctions. We address the preservation of generalized polyhedral convexity under sums…