Bae, Kwan Deok; Kim, Do Sang; Piao, Guang-Ri; Shitkovskaya, Tatiana \(\varepsilon\)-Wolfe type duality for convex optimization problems under data uncertainty. (English) Zbl 07802877 J. Nonlinear Convex Anal. 24, No. 12, 2573-2592 (2023). MSC: 90C25 90C46 49N15 PDFBibTeX XMLCite \textit{K. D. Bae} et al., J. Nonlinear Convex Anal. 24, No. 12, 2573--2592 (2023; Zbl 07802877) Full Text: Link
Piao, Guang-Ri; Hong, Zhe; Bae, Kwan Deok; Kim, Do Sang A characterization of the \(\varepsilon\)-normal set and its application in robust convex optimization problems. (English) Zbl 07788148 J. Nonlinear Var. Anal. 7, No. 6, 897-907 (2023). MSC: 47-XX 46-XX PDFBibTeX XMLCite \textit{G.-R. Piao} et al., J. Nonlinear Var. Anal. 7, No. 6, 897--907 (2023; Zbl 07788148) Full Text: DOI
Hong, Zhe; Bae, Kwan Deok; Kim, Do Sang Minimax programming as a tool for studying robust multi-objective optimization problems. (English) Zbl 1502.90125 Ann. Oper. Res. 319, No. 2, 1589-1606 (2022). MSC: 90C25 90C46 PDFBibTeX XMLCite \textit{Z. Hong} et al., Ann. Oper. Res. 319, No. 2, 1589--1606 (2022; Zbl 1502.90125) Full Text: DOI
Bae, Kwan Deok; Shitkovskaya, Tatiana; Hong, Zhe; Kim, Do Sang Optimality conditions and duality in nonsmooth multiobjective fractional programming. (English) Zbl 1484.49061 J. Nonlinear Convex Anal. 23, No. 1, 99-112 (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 49N15 65K10 90C29 90C32 90C46 PDFBibTeX XMLCite \textit{K. D. Bae} et al., J. Nonlinear Convex Anal. 23, No. 1, 99--112 (2022; Zbl 1484.49061) Full Text: Link
Bae, Kwan Deok; Piao, Guang-Ri; Hong, Zhe; Kim, Do Sang On minimax fractional semi-infinite programming problems with applications. (English) Zbl 1495.90208 Numer. Funct. Anal. Optim. 42, No. 13, Part 1, 1522-1538 (2021). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C32 90C34 90C46 90C48 49N15 49J52 49K35 PDFBibTeX XMLCite \textit{K. D. Bae} et al., Numer. Funct. Anal. Optim. 42, No. 13, Part 1, 1522--1538 (2021; Zbl 1495.90208) Full Text: DOI
Bae, Kwan Deok; Hong, Zhe; Kim, Do Sang A minimax approach to characterize quasi \(\varepsilon \)-Pareto solutions in multiobjective optimization problems. (English) Zbl 1516.90077 J. Nonlinear Var. Anal. 5, No. 5, 709-720 (2021). MSC: 90C29 90C47 PDFBibTeX XMLCite \textit{K. D. Bae} et al., J. Nonlinear Var. Anal. 5, No. 5, 709--720 (2021; Zbl 1516.90077)
Hong, Zhe; Bae, Kwan Deok; Jiao, Liguo; Kim, Do Sang On a class of nonsmooth fractional robust multi-objective optimization problems. II: Duality. (English) Zbl 1522.90175 Kimura, Yasunori (ed.) et al., Proceedings of the 11th international conference on nonlinear analysis and convex analysis (NACA 2019) and the International conference on optimization: techniques and applications (ICOTA), Hokodate, Japan, August 26–31, 2019. Part I. Yokohama: Yokohama Publishers. 101-118 (2019). MSC: 90C29 90C32 90C46 PDFBibTeX XMLCite \textit{Z. Hong} et al., in: Proceedings of the 11th international conference on nonlinear analysis and convex analysis (NACA 2019) and the International conference on optimization: techniques and applications (ICOTA), Hokodate, Japan, August 26--31, 2019. Part I. Yokohama: Yokohama Publishers. 101--118 (2019; Zbl 1522.90175) Full Text: Link
Hong, Zhe; Bae, Kwan Deok; Kim, Do Sang Optimality conditions in convex optimization with locally Lipschitz constraints. (English) Zbl 1462.90090 Optim. Lett. 13, No. 5, 1059-1068 (2019). MSC: 90C25 90C29 90C46 PDFBibTeX XMLCite \textit{Z. Hong} et al., Optim. Lett. 13, No. 5, 1059--1068 (2019; Zbl 1462.90090) Full Text: DOI
Bae, Kwan Deok; Kim, Do Sang; Jiao, Liguo Mixed duality for a class of nondifferentiable multiobjective programming problems. (English) Zbl 1307.90155 J. Nonlinear Convex Anal. 16, No. 2, 255-263 (2015). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{K. D. Bae} et al., J. Nonlinear Convex Anal. 16, No. 2, 255--263 (2015; Zbl 1307.90155) Full Text: Link
Bae, Kwan Deok; Kim, Do Sang Optimality and duality for nonsmooth multiobjective optimization problems. (English) Zbl 1302.90192 J. Inequal. Appl. 2013, Paper No. 554, 11 p. (2013). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{K. D. Bae} and \textit{D. S. Kim}, J. Inequal. Appl. 2013, Paper No. 554, 11 p. (2013; Zbl 1302.90192) Full Text: DOI
Bae, Kwan Deok; Kim, Do Sang Correction: Optimality and duality theorems in nonsmooth multiobjective optimization. (English) Zbl 1274.90335 Fixed Point Theory Appl. 2012, Paper No. 28, 2 p. (2012). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{K. D. Bae} and \textit{D. S. Kim}, Fixed Point Theory Appl. 2012, Paper No. 28, 2 p. (2012; Zbl 1274.90335) Full Text: DOI
Bae, Kwan Deok; Kim, Do Sang Optimality and duality theorems in nonsmooth multiobjective optimization. (English) Zbl 1274.90334 Fixed Point Theory Appl. 2011, Paper No. 42, 11 p. (2011); correction ibid. 2012, Paper No. 28 (2012). MSC: 90C29 90C46 49J52 PDFBibTeX XMLCite \textit{K. D. Bae} and \textit{D. S. Kim}, Fixed Point Theory Appl. 2011, Paper No. 42, 11 p. (2011; Zbl 1274.90334) Full Text: DOI
Kim, Ho Jung; Bae, Kwan Deok; Kim, Do Sang Mixed duality in nondifferentiable G-invex multiobjective programming. (English) Zbl 1401.90208 J. Nonlinear Convex Anal. 12, No. 3, 663-675 (2011). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{H. J. Kim} et al., J. Nonlinear Convex Anal. 12, No. 3, 663--675 (2011; Zbl 1401.90208)
Bae, Kwan Deok; Kang, Young Min; Kim, Do Sang Efficiency and generalized convex duality for nondifferentiable multiobjective programs. (English) Zbl 1184.90148 J. Inequal. Appl. 2010, Article ID 930457, 10 p. (2010). MSC: 90C29 PDFBibTeX XMLCite \textit{K. D. Bae} et al., J. Inequal. Appl. 2010, Article ID 930457, 10 p. (2010; Zbl 1184.90148) Full Text: DOI EuDML
Kim, Do Sang; Lee, Yu Jung; Bae, Kwan Deok Duality in nondifferentiable multiobjective fractional programs involving cones. (English) Zbl 1223.90058 Taiwanese J. Math. 13, No. 6A, 1811-1821 (2009). MSC: 90C29 90C46 90C32 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Taiwanese J. Math. 13, No. 6A, 1811--1821 (2009; Zbl 1223.90058) Full Text: DOI
Kim, Do Sang; Bae, Kwan Deok Optimality conditions and duality for a class of nondifferentiable multiobjective programming problems. (English) Zbl 1188.90273 Taiwanese J. Math. 13, No. 2B, 789-804 (2009). Reviewer: Rita Pini (Milano) MSC: 90C46 90C26 90C29 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{K. D. Bae}, Taiwanese J. Math. 13, No. 2B, 789--804 (2009; Zbl 1188.90273) Full Text: DOI