Dinh, N.; Long, D. H. New representations of epigraphs of conjugate mappings and Lagrange, Fenchel-Lagrange duality for vector optimization problems. (English) Zbl 1528.90240 Optimization 72, No. 6, 1429-1461 (2023). Reviewer: Radu Ioan Boţ (Wien) MSC: 90C29 90C48 90C46 90C25 PDFBibTeX XMLCite \textit{N. Dinh} and \textit{D. H. Long}, Optimization 72, No. 6, 1429--1461 (2023; Zbl 1528.90240) Full Text: DOI arXiv
Dinh, Nguyen; Long, Dang Hai; Volle, Michel Convex robust sum optimization problems with conic and set constraints: duality and optimality conditions revisited. (English) Zbl 1509.90217 Set-Valued Var. Anal. 30, No. 4, 1381-1402 (2022). MSC: 90C46 90C17 49N15 65F20 PDFBibTeX XMLCite \textit{N. Dinh} et al., Set-Valued Var. Anal. 30, No. 4, 1381--1402 (2022; Zbl 1509.90217) Full Text: DOI
Dinh, Nguyen; Long, Dang Hai A perturbation approach to vector optimization problems: Lagrange and Fenchel-Lagrange duality. (English) Zbl 1493.49037 J. Optim. Theory Appl. 194, No. 2, 713-748 (2022). MSC: 49N15 90C25 90C29 90C31 90C46 90C48 PDFBibTeX XMLCite \textit{N. Dinh} and \textit{D. H. Long}, J. Optim. Theory Appl. 194, No. 2, 713--748 (2022; Zbl 1493.49037) Full Text: DOI arXiv
Feng, Xinyi; Sun, Xiangkai Characterizations of Farkas lemmas for a class of fractional optimization with DC functions. (Chinese. English summary) Zbl 1488.90198 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 3, 827-836 (2021). MSC: 90C32 90C46 PDFBibTeX XMLCite \textit{X. Feng} and \textit{X. Sun}, Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 3, 827--836 (2021; Zbl 1488.90198)
Dinh, Nguyen; Long, Dang Hai; Mo, Tran Hong; Yao, Jen-Chih Approximate Farkas lemmas for vector systems with applications to convex vector optimization problems. (English) Zbl 1460.90132 J. Nonlinear Convex Anal. 21, No. 5, 1225-1246 (2020). MSC: 90C25 49N15 90C31 PDFBibTeX XMLCite \textit{N. Dinh} et al., J. Nonlinear Convex Anal. 21, No. 5, 1225--1246 (2020; Zbl 1460.90132) Full Text: Link
Dinh, N.; López, M. A.; Volle, M. Functional inequalities in the absence of convexity and lower semicontinuity with applications to optimization. (English) Zbl 1220.90162 SIAM J. Optim. 20, No. 5, 2540-2559 (2010). MSC: 90C48 39B62 90C46 49N15 90C25 PDFBibTeX XMLCite \textit{N. Dinh} et al., SIAM J. Optim. 20, No. 5, 2540--2559 (2010; Zbl 1220.90162) Full Text: DOI
Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M. Convex inequalities without constraint qualification nor closedness condition, and their applications in optimization. (English) Zbl 1231.90381 Set-Valued Var. Anal. 18, No. 3-4, 423-445 (2010). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C48 90C46 PDFBibTeX XMLCite \textit{N. Dinh} et al., Set-Valued Var. Anal. 18, No. 3--4, 423--445 (2010; Zbl 1231.90381) Full Text: DOI Link
Dinh, N.; Nghia, T. T. A.; Vallet, G. A closedness condition and its applications to DC programs with convex constraints. (English) Zbl 1218.90155 Optimization 59, No. 3-4, 541-560 (2010). MSC: 90C25 90C26 90C46 49K30 PDFBibTeX XMLCite \textit{N. Dinh} et al., Optimization 59, No. 3--4, 541--560 (2010; Zbl 1218.90155) Full Text: DOI HAL
Dinh, Nguyen; Vallet, Guy; Nghia, T. T. A. Farkas-type results and duality for DC programs with convex constraints. (English) Zbl 1145.49016 J. Convex Anal. 15, No. 2, 235-262 (2008). MSC: 49K30 90C25 90C26 90C46 49N15 PDFBibTeX XMLCite \textit{N. Dinh} et al., J. Convex Anal. 15, No. 2, 235--262 (2008; Zbl 1145.49016) Full Text: Link