15 citations · 36 across the 26 of their papers we have counts for
5 papers · 1 filter
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…
Near Convexity and Generalized Differentiation
Nguyen Mau Nam, Nguyen Nang Thieu, Nguyen Dong Yen
In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approa…