1 citations · 1 across the 3 of their papers we have counts for
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A Perturbation Approach to Vector Optimization Problems: Lagrange and Fenchel-Lagrange Duality
N. Dinh, D. H. Long
In this paper we study the general minimization vector problem (P), concerning a perturbation mapping, defined in locally convex Hausdorff topological vector spaces where the "WInf…
New Representations of Epigraphs of Conjugate Mappings and Lagrange, Fenchel-Lagrange Duality for Vector Optimization Problems
N. Dinh, D. H. Long
In this paper we concern the vector problem of the model: \begin{align*} ({\rm VP})\quad\qquad &\rm{WInf} \{F(x): x\in C,\; G(x)\in -S\}. \end{align*} where are locally c…
Duality for Robust Linear Infinite Programming Problems Revisited
Dinh Nguyen, Long Dang Hai
In this paper, we consider the robust linear infinite programming problem defined by \begin{eqnarray*} ({\rm RLIP}_c)\quad &&\inf\; \langle c,x\rangle \textrm{sub…
Characterizing weak solutions for vector optimization problems
Nguyen Dinh, Miguel A. Goberna, Dang H. Long +1
This paper provides characterizations of the weak solutions of optimization problems where a given vector function from a decision space to an objective space , is "min…