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math.OC2021
Relaxed Lagrangian duality in convex infinite optimization: reverse strong duality and optimality
Nguyen Dinh, Miguel A. Goberna, Marco A. Lopez +1
We associate with each convex optimization problem posed on some locally convex space with an infinite index set T, and a given non-empty family H formed by finite subsets of T, a…
math.OC2021★ 1 cited
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…
math.OC2021
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…