3 papers
math.OC2023
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…
math.OC2020
Two Optimal Value Functions in Parametric Conic Linear Programming
Nguyen Ngoc Luan, Do Sang Kim, Nguyen Dong Yen
We consider the conic linear program given by a closed convex cone in an Euclidean space and a matrix, where vector on the right-hand-side of the constraint system and the vector d…
math.OC2017
A Representation of Generalized Convex Polyhedra and Applications
Nguyen Ngoc Luan, Nguyen Dong Yen
It is well known that finite-dimensional polyhedral convex sets can be generated by finitely many points and finitely many directions. Representation formulas in this spirit are ob…