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math.OC2025
Primal and Dual Characterizations for Farkas type Lemmas in Terms of Closedness Criteria
Nguyen Dinh, Miguel A. Goberna, Michel Volle
This paper deals with the characterization, in terms of closedness of certain sets regarding other sets, of Farkas lemmas determining when the upperlevel set of a given convex func…
math.OC2023
Around a Farkas type Lemma
Nguyen Dinh, Miguel A. Goberna, M. Volle
The first two authors of this paper asserted in Lemma 4 of "New Farkas-type constraint qualifications in convex infinite programming" (DOI: 10.1051/cocv:2007027) that a given rever…
math.OC2019
Sectional convexity of epigraphs of conjugate mappings with applications to robust vector duality
Dinh Nguyen, Long Dang Hai
This paper concerns the robust vector problems \begin{equation*} \mathrm{(RVP)}\ \ {\rm Wmin}\left\{ F(x): x\in C,\; G_u(x)\in -S,\;\forall u\in\mathcal{U}\right\}, \end{equation*}…