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Author ID: lee.gue-myung Recent zbMATH articles by "Lee, Gue Myung"
Published as: Lee, Gue Myung; Lee, G. M.; Lee, G.-M.; Lee, Gue-Myung; Lee, Gue M.
all top 5

Serials

22 Journal of Optimization Theory and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Nonlinear and Convex Analysis
10 Applied Mathematics Letters
10 Journal of Global Optimization
9 Journal of Mathematical Analysis and Applications
9 Journal of Information & Optimization Sciences
8 Fuzzy Sets and Systems
7 Taiwanese Journal of Mathematics
7 Linear and Nonlinear Analysis
6 Journal of the Korean Mathematical Society
6 Optimization
5 Indian Journal of Pure & Applied Mathematics
5 Bulletin of the Korean Mathematical Society
4 SIAM Journal on Optimization
4 Communications of the Korean Mathematical Society
4 Nonlinear Analysis Forum
4 Pacific Journal of Optimization
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Convex Analysis
3 Vietnam Journal of Mathematics
3 Positivity
3 Mathematical Methods of Operations Research
3 Fixed Point Theory and Applications
2 Southeast Asian Bulletin of Mathematics
2 Annals of Operations Research
2 Panamerican Mathematical Journal
2 European Journal of Operational Research
2 Mathematical Programming. Series A. Series B
2 Set-Valued Analysis
2 The Journal of Fuzzy Mathematics
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 The ANZIAM Journal
2 Nonlinear Functional Analysis and Applications
2 Carpathian Journal of Mathematics
2 Journal of Nonlinear and Variational Analysis
1 Applicable Analysis
1 Acta Mathematica Vietnamica
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Mathematica Japonica
1 Operations Research Letters
1 Journal of Applied Mathematics and Stochastic Analysis
1 Filomat
1 International Journal of Mathematics, Game Theory and Algebra
1 RIMS Kokyuroku
1 Nihonkai Mathematical Journal
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Journal of Applied Mathematics
1 Thai Journal of Mathematics
1 Journal of Industrial and Management Optimization
1 Nonconvex Optimization and Its Applications
1 Optimization Letters
1 Set-Valued and Variational Analysis
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Applied Analysis and Optimization

Publications by Year

Citations contained in zbMATH Open

182 Publications have been cited 1,992 times in 1,195 Documents Cited by Year
Vector variational inequality as a tool for studying vector optimization problems. Zbl 0956.49007
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Yen, Nguyen Dong
94
1998
New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Zbl 1046.90059
Jeyakumar, V.; Lee, G. M.; Dinh, N.
87
2003
On robust multiobjective optimization. Zbl 1302.90199
Kuroiwa, Daishi; Lee, Gue Myung
76
2012
Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
66
2005
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
45
2009
Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090
Jeyakumar, V.; Lee, G. M.; Dinh, N.
40
2006
On nonsmooth optimality theorems for robust optimization problems. Zbl 1291.90253
Lee, Gue Myung; Son, Phạm Tiẽn
39
2014
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
38
2015
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
38
2012
Generalized vector variational inequality and fuzzy extension. Zbl 0804.49004
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Cho, Sung Jin
38
1993
Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091
Jeyakumar, V.; Lee, G. M.; Dinh, N.
37
2004
Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231
Li, G. Y.; Jeyakumar, V.; Lee, G. M.
37
2011
On the generalized quasi-variational inequality problems. Zbl 0867.49008
Chang, Shihsen; Lee, Byung Soo; Wu, Xian; Cho, Yeol Je; Lee, Gue Myung
35
1996
Solution sensitivity of a class of variational inequalities. Zbl 0906.49002
Nguyen Dong Yen; Lee, Gue Myung
33
1997
On vector quasivariational inequalities. Zbl 0866.49016
Lee, Gue Myung; Lee, Byung Soo; Chang, Shihsen
33
1996
On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems. Zbl 1446.90143
Lee, Jae Hyoung; Lee, Gue Myung
30
2018
Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074
Jeyakumar, V.; Lee, G. M.
30
2008
Nonsmooth vector optimization problems and Minty vector variational inequalities. Zbl 1198.90343
Ansari, Q. H.; Lee, G. M.
28
2010
On sensitivity analysis in vector optimization. Zbl 1194.90086
Lee, G. M.; Huy, N. Q.
26
2007
On \(\epsilon\)-solutions for convex optimization problems with uncertainty data. Zbl 1334.90126
Lee, Jae Hyoung; Lee, Gue Myung
25
2012
Minimax theorems for set-valued mappings. Zbl 1054.90086
Li, S. J.; Chen, G. Y.; Lee, G. M.
25
2000
Generalized vector variational inequality. Zbl 0862.49014
Lee, G. M.; Kim, D. S.; Lee, B. S.
25
1996
Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity. Zbl 0989.90117
Kuk, H.; Lee, G. M.; Tanino, T.
25
2001
On relations between vector optimization problems and vector variational inequalities. Zbl 1022.90024
Ward, D. E.; Lee, G. M.
23
2002
Existence of solutions for vector optimization problems. Zbl 0911.90290
Lee, Gue Myung; Kim, Do Sang; Kuk, Hun
21
1998
On implicit vector variational inequalities. Zbl 0970.47052
Lee, G. M.; Kum, S. H.
20
2000
Sequential Lagrangian conditions for convex programs with applications to semidefinite programming. Zbl 1114.90083
Dinh, N.; Jeyakumar, V.; Lee, G. M.
19
2005
On proto-differentiability of generalized perturbation maps. Zbl 1104.49019
Lee, G. M.; Huy, N. Q.
19
2006
Infine functions, nonsmooth alternative theorems and vector optimization problems. Zbl 1142.90483
Pham Huu Sach; Lee, Gue Myung; Kim, Do Sang
19
2003
On relations between vector variational inequality and vector optimization problem. Zbl 0969.49003
Lee, Gue Myung
19
2000
Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013
Lee, G. M.; Tam, N. N.; Yen, N. D.
19
2008
On robust convex multiobjective optimization. Zbl 1334.90157
Kuroiwa, Daishi; Lee, Gue Myung
18
2014
On nonsmooth optimality theorems for robust multiobjective optimization problems. Zbl 1332.90240
Lee, Gue Myung; Lee, Jae Hyoung
18
2015
Generalized vector variational-like inequalities on locally convex Hausdorff topological vector spaces. Zbl 0899.49005
Lee, Byung Soo; Lee, Gue Myung; Kim, Do Sang
18
1997
Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps. Zbl 1163.49019
Pham Huu Sach; Le Anh Tuan; Lee, Gue Myung
18
2009
Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069
Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N.
17
2006
A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006
Jeyakumar, V.; Li, G. Y.; Lee, G. M.
17
2011
A relaxed constant positive linear dependence constraint qualification for mathematical programs with equilibrium constraints. Zbl 1272.90085
Chieu, Nguyen Huy; Lee, Gue Myung
16
2013
Nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity. Zbl 0910.90242
Kuk, Hun; Lee, Gue Myung; Kim, Do Sang
15
1998
Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187
Lee, G. M.; Yen, N. D.
14
2014
Nonsmooth invexity in multiobjective programming. Zbl 0826.90100
Lee, Gue Myung
14
1994
On noncooperative vector equilibrium. Zbl 0858.90141
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo
14
1996
Upper semicontinuity in a parametric general variational problem and application. Zbl 1190.49016
Le Anh Tuan; Lee, Gue Myung; Pham Huu Sach
14
2010
Generalized vector variational inequality and its duality for set-valued maps. Zbl 0940.49008
Lee, G. M.; Kim, D. S.; Lee, B. S.; Chen, Guangya
13
1998
A result on vector variational inequalities with polyhedral constraint sets. Zbl 1001.90061
Lee, G. M.; Yen, N. D.
13
2001
Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property. Zbl 1315.90054
Chieu, Nguyen Huy; Lee, Gue Myung
12
2014
Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones. Zbl 1232.49018
Tuan, Le Anh; Lee, Gue Myung; Sach, Pham Huu
12
2010
Extended Farkas’s lemmas and strong Lagrange dualities for DC infinite programming. Zbl 1311.90107
Fang, D. H.; Lee, G. M.; Li, C.; Yao, J. C.
12
2013
On duality theorems for nonsmooth Lipschitz optimization problems. Zbl 0987.90072
Kim, M. H.; Lee, G. M.
12
2001
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
12
2008
Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136
Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G.
11
2016
Continuity of the solution map in quadratic programs under linear perturbations. Zbl 1278.90292
Lee, G. M.; Tam, N. N.; Yen, N. D.
11
2006
On the optimal value function of a linearly perturbed quadratic program. Zbl 1079.90135
Lee, G. M.; Tam, N. N.; Yen, N. D.
11
2005
Generalized convexity and nonsmooth problems of vector optimization. Zbl 1137.90658
Pham Huu Sach; Kim, Do Sang; Lee, Gue Myung
11
2005
Symmetric duality with pseudo-invexity in variational problems. Zbl 0818.90109
Kim, D. S.; Lee, G. M.
11
1993
Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022
Lee, G. M.; Yen, N. D.
11
2011
On complexity analysis of the primal-dual interior-point method for semidefinite optimization problem based on a new proximity function. Zbl 1239.90105
Choi, Bo Kyung; Lee, Gue Myung
11
2009
A vector version of Minty’s lemma and applications. Zbl 0941.49007
Lee, B.-S.; Lee, G.-M.
11
1999
Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022
Dinh, N.; Jeyakumar, V.; Lee, G. M.
11
2006
Duality for multiobjective programming involving \(n\)-set functions. Zbl 0819.90084
Jo, C. L.; Kim, D. S.; Lee, G. M.
10
1994
Duality for multiobjective fractional programming involving \(n\)-set functions. Zbl 0818.90099
Jo, C. L.; Kim, D. S.; Lee, G. M.
10
1994
Stability of linear-quadratic minimization over Euclidean balls. Zbl 1268.90039
Lee, G. M.; Tam, N. N.; Yen, N. D.
10
2012
Sufficient global optimality conditions for multi-extremal smooth minimization problems with bounds and linear matrix inequality constraints. Zbl 1113.90147
Huy, N. Q.; Jeyakumar, V.; Lee, G. M.
9
2006
Vector variational inequalities for nondifferentiable convex vector optimization problems. Zbl 1130.90394
Lee, Gue Myung; Lee, Kwang Baik
9
2005
Optimality conditions for approximate solutions of convex semi-infinite vector optimization problems. Zbl 1247.90238
Lee, Gue Myung; Kim, Gwi Soo; Dinh, Nguyen
9
2012
Vector variational inequalities in a Hausdorff topological vector space. Zbl 1012.49008
Lee, Gue Myung; Kum, Sangho
9
2000
On monotone and strongly monotone vector variational inequalities. Zbl 0993.49013
Yen, Nguyen Dong; Lee, Gue Myung
9
2000
Generalized vector-valued variational inequalities and fuzzy extensions. Zbl 0883.47082
Lee, Byung Soo; Lee, Gue Myung; Kim, Do Sang
9
1996
Vector quasivariational inequalities for fuzzy mappings. II. Zbl 0937.47062
Chang, Shih-Sen; Lee, Gue Myung; Lee, Byung-Soo
9
1999
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
9
2007
Necessary and sufficient conditions for Farkas’ Lemma for cone systems and second-order cone programming duality. Zbl 1245.90141
Jeyakumar, V.; Kum, S.; Lee, G. M.
9
2008
Second-order subdifferentials and optimality conditions for \(C^1\)-smooth optimization problems. Zbl 1484.49033
Chieu, N. H.; Lee, G. M.; Yen, N. D.
9
2017
Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints. Zbl 1438.90262
Sisarat, Nithirat; Wangkeeree, Rabian; Lee, Gue Myung
8
2020
On \(\epsilon\)-solutions for robust semi-infinite optimization problems. Zbl 1421.90150
Lee, Jae Hyoung; Lee, Gue Myung
8
2019
Coderivative characterizations of maximal monotonicity for set-valued mappings. Zbl 1347.49026
Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A.
8
2016
Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of Browder–Petryshyn type. Zbl 1107.47058
Zeng, L. C.; Lee, G. M.; Wong, N. C.
8
2006
Duality results for generalized vector variational inequalities with set-valued maps. Zbl 1194.90108
Sach, P. H.; Kim, D. S.; Tuan, L. A.; Lee, G. M.
8
2008
Minimization theorems and fixed point theorems in generating spaces of quasi-metric family. Zbl 0986.54015
Lee, Gue Myung; Lee, Byung Soo; Jung, Jong Soo; Chang, Shih-sen
8
1999
Remarks on implicit vector variational inequalities. Zbl 1035.49005
Kum, Sangho; Lee, Gue Myung
8
2002
Fixed degree and fixed point theorems for fuzzy mappings in probabilistic metric spaces. Zbl 0922.54016
Chang, Shihsen; Cho, Yeol Je; Lee, Byung Soo; Lee, Gue Myung
8
1997
On \(\epsilon\)-solutions for robust fractional optimization problems. Zbl 1333.90094
Lee, Jae Hyoung; Lee, Gue Myung
7
2014
Stability and genericity for semi-algebraic compact programs. Zbl 1338.90320
Lee, Gue Myung; Phạm, Tiên Sȯn
7
2016
On \(\varepsilon\)-optimality conditions for multiobjective fractional optimization problems. Zbl 1270.90063
Kim, Moon H.; Kim, Gwi S.; Lee, Gue M.
7
2011
Counterexample and optimality conditions in differentiable multiobjective programming. Zbl 1017.90099
Kim, D. S.; Lee, G. M.; Lee, B. S.; Cho, S. J.
7
2001
Symmetric duality for multiobjective variational problems with pseudo-invexity. Zbl 0925.90336
Kim, Do Sang; Lee, Gue Myung; Lee, Won Jung
7
1997
On vector variational inequality. Zbl 0871.49011
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Cho, Sung Jin
7
1996
Duality theorems for multiobjective fractional minimization problems involving set functions. Zbl 0849.90114
Kim, Do Sang; Lee, Gue Myung; Jo, Cheong Lai
7
1996
Optimality and duality for multiobjective fractional programming involving \(n\)-set functions. Zbl 0910.90252
Kim, Do Sang; Jo, Cheong Lai; Lee, Gue Myung
7
1998
A common fixed point theorem for a pair of fuzzy mappings. Zbl 0929.54011
Lee, Byung Soo; Lee, Gue Myung; Cho, Sung Jin; Kim, Do Sang
7
1998
Generic properties for semialgebraic programs. Zbl 1396.90065
Lee, Gue Myung; Phạm, Tiên So’n
6
2017
Surrogate duality for robust optimization. Zbl 1317.90321
Suzuki, Satoshi; Kuroiwa, Daishi; Lee, Gue Myung
6
2013
On convergence of descent methods for variational inequalities in a Hilbert space. Zbl 1031.90052
Konnov, I. V.; Kum, Sangho; Lee, Gue Myung
6
2002
Vector variational inequalities for fuzzy mappings. Zbl 1046.49004
Lee, Gue Myung; Kim, Do Sang; Lee, Byung-Soo
6
1999
A general vector-valued variational inequality and its fuzzy extension. Zbl 0919.47057
Park, Sehie; Lee, Byung-Soo; Lee, Gue Myung
6
1998
Vector quasivariational inequalities for fuzzy mappings. I. Zbl 0923.47037
Chang, Shihsen; Lee, Gue Myung; Lee, Byung Soo
6
1997
On optimality and duality for nonsmooth multiobjective fractional optimization problems. Zbl 1224.90158
Kim, Gwi Soo; Kim, Moon Hee; Lee, Gue Myung
6
2005
An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets. Zbl 1407.90238
Ogata, Yuto; Tanaka, Tamaki; Saito, Yutaka; Lee, Gue Myung; Lee, Jae Hyoung
6
2018
On efficiency in nonlinear fractional vector maximization problems. Zbl 0817.90095
Lee, G. M.
5
1992
Characterizations of Hartley proper efficiency in nonconvex vector optimization. Zbl 1203.90126
Lee, Gue Myung; Kim, Do Sang; Sach, Pham Huu
5
2005
Variational inequalities for \((\eta,\theta)\)-pseudomonotone operators in nonreflexive Banach spaces. Zbl 0954.47052
Lee, B.-S.; Lee, G.-M.
5
1999
On weakly efficient solutions for semidefinite linear fractional vector optimization problems. Zbl 1522.90097
Kim, Moon Hee; Kim, Gwi Soo; Lee, Gue Myung
1
2023
Linear fractional optimization problems on Jordan Euclidean algebras. Zbl 07556344
Lee, Gue Myung; Kim, Gwi Soo; Kim, Moon Hee
1
2022
On semidefinite linear fractional optimization problems. Zbl 1498.90230
Kim, Moon Hee; Kim, Gwi Soo; Lee, Gue Myung
2
2021
Solution sets of second-order cone linear fractional optimization problems. Zbl 1476.90244
Kim, Gwi Soo; Kim, Moon Hee; Lee, Gue Myung
1
2021
Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints. Zbl 1438.90262
Sisarat, Nithirat; Wangkeeree, Rabian; Lee, Gue Myung
8
2020
On optimality conditions for robust weak sharp solution in uncertain optimizations. Zbl 1488.90130
Kerkaew, Jutamas; Wangkeeree, Rabian; Lee, Gue Myung
3
2020
On set containment characterizations for sets described by set-valued maps with applications. Zbl 1434.49014
Sisarat, Nithirat; Wangkeeree, Rabian; Lee, Gue Myung
2
2020
On \(\epsilon\)-solutions for robust semi-infinite optimization problems. Zbl 1421.90150
Lee, Jae Hyoung; Lee, Gue Myung
8
2019
On duality theorems for semidefinite linear fractional optimization problems. Zbl 1472.90137
Kim, Moon Hee; Kim, Gwi Soo; Lee, Gue Myung
3
2019
On optimality and duality for second-order cone linear fractional optimization problems. Zbl 1522.90224
Kim, Gwi Soo; Kim, Moon Hee; Lee, Gue Myung
1
2019
On support vector machine classifiers with uncertain knowledge sets. Zbl 1455.65102
Lee, Gue Myung
1
2019
On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems. Zbl 1446.90143
Lee, Jae Hyoung; Lee, Gue Myung
30
2018
An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets. Zbl 1407.90238
Ogata, Yuto; Tanaka, Tamaki; Saito, Yutaka; Lee, Gue Myung; Lee, Jae Hyoung
6
2018
Genericity and Hölder stability in semi-algebraic variational inequalities. Zbl 1394.90470
Lee, Jae Hyoung; Lee, Gue Myung; Phạm, Tien-Son
4
2018
On approximate solutions for robust convex semidefinite optimization problems. Zbl 1394.90459
Lee, Jae Hyoung; Lee, Gue Myung
4
2018
On minimizing difference of a SOS-convex polynomial and a support function over a SOS-concave matrix polynomial constraint. Zbl 1390.90518
Lee, Jae Hyoung; Lee, Gue Myung
3
2018
Second-order subdifferentials and optimality conditions for \(C^1\)-smooth optimization problems. Zbl 1484.49033
Chieu, N. H.; Lee, G. M.; Yen, N. D.
9
2017
Generic properties for semialgebraic programs. Zbl 1396.90065
Lee, Gue Myung; Phạm, Tiên So’n
6
2017
Variational inequalities over split equality fixed point sets of strongly quasinonexpansive mappings with applications. Zbl 1505.47070
Lee, Gue Myung; Lin, Lai-Jiu
2
2017
On sequential optimality theorems for convex optimization problems. Zbl 1424.90206
Lee, Jae Hyoung; Lee, Gue Myung
1
2017
Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136
Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G.
11
2016
Coderivative characterizations of maximal monotonicity for set-valued mappings. Zbl 1347.49026
Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A.
8
2016
Stability and genericity for semi-algebraic compact programs. Zbl 1338.90320
Lee, Gue Myung; Phạm, Tiên Sȯn
7
2016
Sums of squares characterizations of containment of convex semialgebraic sets. Zbl 1333.14058
Jeyakumar, V.; Lee, G. M.; Lee, J. H.
4
2016
Generalized Farkas’ lemma and gap-free duality for minimax DC optimization with polynomials and robust quadratic optimization. Zbl 1346.90808
Jeyakumar, V.; Lee, G. M.; Linh, N. T. H.
4
2016
On solution sets for robust optimization problems. Zbl 1466.90103
Lee, Gue Myung; Yao, Jen-Chih
4
2016
First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints. Zbl 1337.49037
Bui Trong Kien; Lee, Gue Myung; Nguyen Hai Son
2
2016
Generalized SOS-convexity and strong duality with SDP dual programs in polynomial optimization. Zbl 1334.26024
Jeyakumar, Vaithilingam; Lee, Gue Myung; Lee, Jae Hyoung
2
2016
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
38
2015
On nonsmooth optimality theorems for robust multiobjective optimization problems. Zbl 1332.90240
Lee, Gue Myung; Lee, Jae Hyoung
18
2015
On sequential optimality conditions for robust multiobjective convex optimization problems. Zbl 1386.90168
Lee, Jae Hyoung; Lee, Gue Myung
1
2015
On nonsmooth optimality theorems for robust optimization problems. Zbl 1291.90253
Lee, Gue Myung; Son, Phạm Tiẽn
39
2014
On robust convex multiobjective optimization. Zbl 1334.90157
Kuroiwa, Daishi; Lee, Gue Myung
18
2014
Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187
Lee, G. M.; Yen, N. D.
14
2014
Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property. Zbl 1315.90054
Chieu, Nguyen Huy; Lee, Gue Myung
12
2014
On \(\epsilon\)-solutions for robust fractional optimization problems. Zbl 1333.90094
Lee, Jae Hyoung; Lee, Gue Myung
7
2014
A relaxed constant positive linear dependence constraint qualification for mathematical programs with equilibrium constraints. Zbl 1272.90085
Chieu, Nguyen Huy; Lee, Gue Myung
16
2013
Extended Farkas’s lemmas and strong Lagrange dualities for DC infinite programming. Zbl 1311.90107
Fang, D. H.; Lee, G. M.; Li, C.; Yao, J. C.
12
2013
Surrogate duality for robust optimization. Zbl 1317.90321
Suzuki, Satoshi; Kuroiwa, Daishi; Lee, Gue Myung
6
2013
On efficient applications of \(G\)-Karush-Kuhn-Tucker necessary optimality theorems to multiobjective programming problems. Zbl 1263.90086
Kim, Moon Hee; Lee, Gue Myung
1
2013
On set-valued complementarity problems. Zbl 1263.49015
Zhou, Jinchuan; Chen, Jein-Shan; Lee, Gue Myung
1
2013
On robust multiobjective optimization. Zbl 1302.90199
Kuroiwa, Daishi; Lee, Gue Myung
76
2012
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
38
2012
On \(\epsilon\)-solutions for convex optimization problems with uncertainty data. Zbl 1334.90126
Lee, Jae Hyoung; Lee, Gue Myung
25
2012
Stability of linear-quadratic minimization over Euclidean balls. Zbl 1268.90039
Lee, G. M.; Tam, N. N.; Yen, N. D.
10
2012
Optimality conditions for approximate solutions of convex semi-infinite vector optimization problems. Zbl 1247.90238
Lee, Gue Myung; Kim, Gwi Soo; Dinh, Nguyen
9
2012
New complexity analysis for primal-dual interior-point methods for self-scaled optimization problems. Zbl 1277.90147
Choi, Bo Kyung; Lee, Gue Myung
2
2012
Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231
Li, G. Y.; Jeyakumar, V.; Lee, G. M.
37
2011
A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006
Jeyakumar, V.; Li, G. Y.; Lee, G. M.
17
2011
Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022
Lee, G. M.; Yen, N. D.
11
2011
On \(\varepsilon\)-optimality conditions for multiobjective fractional optimization problems. Zbl 1270.90063
Kim, Moon H.; Kim, Gwi S.; Lee, Gue M.
7
2011
An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators. Zbl 1235.47062
Kien, B. T.; Lee, G. M.
4
2011
On \(\epsilon\)-optimality theorems for convex vector optimization problems. Zbl 1235.90138
Kim, Gwi Soo; Lee, Gue Myung
4
2011
Nonsmooth vector optimization problems and Minty vector variational inequalities. Zbl 1198.90343
Ansari, Q. H.; Lee, G. M.
28
2010
Upper semicontinuity in a parametric general variational problem and application. Zbl 1190.49016
Le Anh Tuan; Lee, Gue Myung; Pham Huu Sach
14
2010
Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones. Zbl 1232.49018
Tuan, Le Anh; Lee, Gue Myung; Sach, Pham Huu
12
2010
On complexity analysis of the primal-dual interior-point method for second-order cone optimization problem. Zbl 1266.90141
Choi, Bo Kyung; Lee, Gue Myung
3
2010
\(\varepsilon \)-duality theorems for convex semidefinite optimization problems with conic constraints. Zbl 1184.49036
Lee, Gue Myung; Lee, Jae Hyoung
3
2010
Glogal optimality conditions for classes of non-convex multi-objective quadratic optimization problems. Zbl 1236.90111
Jeyakumar, V.; Lee, G. M.; Li, G.
2
2010
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
45
2009
Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps. Zbl 1163.49019
Pham Huu Sach; Le Anh Tuan; Lee, Gue Myung
18
2009
On complexity analysis of the primal-dual interior-point method for semidefinite optimization problem based on a new proximity function. Zbl 1239.90105
Choi, Bo Kyung; Lee, Gue Myung
11
2009
Duality for \(\varepsilon \)-variational inequality. Zbl 1163.58302
Kum, S.; Kim, G. S.; Lee, G. M.
5
2009
On \(\varepsilon\)-optimality conditions for convex set-valued optimization problems. Zbl 1223.90042
Lee, Gue Myung; Tuan, Le Anh
4
2009
New Kuhn-Tucker sufficiency for global optimality via convexification. Zbl 1192.90201
Jeyakumar, V.; Lee, G. M.; Srisatkunarajah, S.
3
2009
Stability of a class of quadratic programs with a conic constraint. Zbl 1219.90118
Lee, G. M.; Tam, N. N.; Yen, N. D.
1
2009
Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074
Jeyakumar, V.; Lee, G. M.
30
2008
Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013
Lee, G. M.; Tam, N. N.; Yen, N. D.
19
2008
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
12
2008
Necessary and sufficient conditions for Farkas’ Lemma for cone systems and second-order cone programming duality. Zbl 1245.90141
Jeyakumar, V.; Kum, S.; Lee, G. M.
9
2008
Duality results for generalized vector variational inequalities with set-valued maps. Zbl 1194.90108
Sach, P. H.; Kim, D. S.; Tuan, L. A.; Lee, G. M.
8
2008
Generalized variational-like inequalities with compositely monotone multifunctions. Zbl 1156.49008
Ceng, Lu-Chuan; Lee, Gue Myung; Yao, Jen-Chih
1
2008
Necessary and sufficient conditions for globally stable convex minimax theorems. Zbl 1176.49029
Gwinner, J.; Jeyakumar, V.; Lee, G. M.
1
2008
On sensitivity analysis in vector optimization. Zbl 1194.90086
Lee, G. M.; Huy, N. Q.
26
2007
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
9
2007
On \(\varepsilon\)-approximate solutions for convex semidefinite optimization problems. Zbl 1194.90065
Kim, Gwi Soo; Lee, Gue Myung
4
2007
On optimality conditions for abstract convex vector optimization problems. Zbl 1135.90399
Lee, Gue Myung; Lee, Kwang Baik
3
2007
Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090
Jeyakumar, V.; Lee, G. M.; Dinh, N.
40
2006
On proto-differentiability of generalized perturbation maps. Zbl 1104.49019
Lee, G. M.; Huy, N. Q.
19
2006
Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069
Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N.
17
2006
Continuity of the solution map in quadratic programs under linear perturbations. Zbl 1278.90292
Lee, G. M.; Tam, N. N.; Yen, N. D.
11
2006
Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022
Dinh, N.; Jeyakumar, V.; Lee, G. M.
11
2006
Sufficient global optimality conditions for multi-extremal smooth minimization problems with bounds and linear matrix inequality constraints. Zbl 1113.90147
Huy, N. Q.; Jeyakumar, V.; Lee, G. M.
9
2006
Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of Browder–Petryshyn type. Zbl 1107.47058
Zeng, L. C.; Lee, G. M.; Wong, N. C.
8
2006
Strong duality for proper efficiency in vector optimization. Zbl 1139.90028
Sach, P. H.; Kim, D. S.; Lee, G. M.
5
2006
Invexity as necessary optimality condition in nonsmooth programs. Zbl 1105.90106
Pham Huu Sach; Kim, Do Sang; Lee, Gue Myung
3
2006
Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations. Zbl 1151.90031
Lee, G. M.; Tam, N. N.; Yen, N. D.
1
2006
On vector equilibrium problem with multifunctions. Zbl 1106.49015
Lee, Gue Myung; Bu, In Ja
1
2006
Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
66
2005
Sequential Lagrangian conditions for convex programs with applications to semidefinite programming. Zbl 1114.90083
Dinh, N.; Jeyakumar, V.; Lee, G. M.
19
2005
On the optimal value function of a linearly perturbed quadratic program. Zbl 1079.90135
Lee, G. M.; Tam, N. N.; Yen, N. D.
11
2005
Generalized convexity and nonsmooth problems of vector optimization. Zbl 1137.90658
Pham Huu Sach; Kim, Do Sang; Lee, Gue Myung
11
2005
Vector variational inequalities for nondifferentiable convex vector optimization problems. Zbl 1130.90394
Lee, Gue Myung; Lee, Kwang Baik
9
2005
On optimality and duality for nonsmooth multiobjective fractional optimization problems. Zbl 1224.90158
Kim, Gwi Soo; Kim, Moon Hee; Lee, Gue Myung
6
2005
Characterizations of Hartley proper efficiency in nonconvex vector optimization. Zbl 1203.90126
Lee, Gue Myung; Kim, Do Sang; Sach, Pham Huu
5
2005
Generalized Lagrange multipliers for nonconvex directionally differentiable programs. Zbl 1115.90064
Nguyen Dinh; Lee, Gue Myung; Le Anh Tuan
3
2005
On solution sets for affine vector variational inequality. Zbl 1224.49047
Lee, Gue Myung; Bu, In Ja
2
2005
Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091
Jeyakumar, V.; Lee, G. M.; Dinh, N.
37
2004
Efficiency and generalised convexity in vector optimisation problems. Zbl 1177.90367
Huu Sach Pham; Lee, Gue Myung; Kim, Do Sang
2
2004
Hartley proper efficiency in multifunction optimization. Zbl 1061.90100
Kim, D. S.; Lee, G. M.; Sach, P. H.
2
2004
...and 82 more Documents
all top 5

Cited by 1,013 Authors

71 Lee, Gue Myung
58 Jeyakumar, Vaithilingam
55 Yao, Jen-Chih
41 Li, Guoyin
41 Li, Shengjie
40 Kim, Do Sang
34 Thai Doan Chuong
33 Nguyen Dong Yen
32 Ansari, Qamrul Hasan
25 Huang, Nan-Jing
25 Mishra, Shashi Kant
24 Pham Huu Sach
24 Sun, Xiangkai
18 Lee, Jae Hyoung
16 Antczak, Tadeusz
16 Goberna, Miguel Angel
16 Lin, Lai-Jiu
16 Phan Quôc Khánh
15 Chen, Chunrong
15 Lee, Byung Soo
14 Jayswal, Anurag
14 Zafarani, Jafar
13 Teo, Kok Lay
13 Yang, Xiaoqi
12 Kim, Moon Hee
12 Long, Xianjun
11 Ahmad, Izhar
11 Ceng, Lu-Chuan
11 Fang, Donghui
11 Li, Minghua
11 Schöbel, Anita
11 Wangkeeree, Rabian
10 Al-Homidan, Suliman S.
10 Fang, Yaping
10 Flores-Bazán, Fabián
10 Le Anh Tuan
10 Li, Xiaobing
10 López-Cerdá, Marco Antonio
10 Tung, Le Thanh
10 Volle, Michel
10 Wen, Chingfeng
9 Chang, Shih-Sen
9 Ding, Xie Ping
9 Huong, Nguyen Thi Thu
9 Huy, Nguyen Quang
9 Jiao, Liguo
9 Salahuddin
9 Son, Ta Quang
8 Chieu, Nguyen Huy
8 Hieu, Vu Trung
8 Kuroiwa, Daishi
8 Nobakhtian, Soghra
8 Peng, Jianwen
8 Soleimani-damaneh, Majid
8 Wei, Hongzhi
8 Zhang, Yu
7 Anh, Lam Quoc
7 Chen, Jiawei
7 Gadhi, Nazih Abderrazzak
7 Ivanov, Vsevolod Ivanov
7 Noor, Muhammad Aslam
7 Phạm Tiên So’n
7 Qui, Nguyen Thanh
7 Schaible, Siegfried
7 Suzuki, Satoshi
7 Yang, Xinmin
7 Zhong, Ren-you
6 Anh, Nguyen Le Hoang
6 Arana-Jiménez, Manuel
6 Boţ, Radu Ioan
6 Farajzadeh, Ali P.
6 Kim, Gwi Soo
6 Kostyukova, Olga Ivanova
6 Laha, Vivek
6 Li, Chong
6 Li, Jun
6 Novo-Sanjurjo, Vicente
6 Oveisiha, Morteza
6 Pandey, Yogendra
6 Pang, Jong-Shi
6 Rojas-Medar, Marko Antonio
6 Rufián-Lizana, Antonio
6 Ruiz-Garzón, Gabriel
6 Srisatkunarajah, Sivakolundu
6 Tam, Nguyen Nang
6 Tchemisova, Tatiana V.
6 Yu, Guolin
6 Zalmai, G. J.
5 Chai, Yi
5 Cho, Yeol Je
5 Do Van Luu
5 Fakhar, Majid
5 Fu, Hongyong
5 Gong, Xunhua
5 Jiménez, Bienvenido
5 Khanh, Pham Duy
5 Köbis, Elisabeth
5 Konnov, Igor V.
5 Lai, K. K.
5 Lalitha, C. S.
...and 913 more Authors
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Cited in 155 Serials

153 Journal of Optimization Theory and Applications
92 Journal of Global Optimization
90 Optimization
57 Journal of Mathematical Analysis and Applications
55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Optimization Letters
35 Journal of Inequalities and Applications
29 Numerical Functional Analysis and Optimization
29 European Journal of Operational Research
28 SIAM Journal on Optimization
26 Set-Valued and Variational Analysis
25 Fuzzy Sets and Systems
25 Fixed Point Theory and Applications
24 Mathematical Programming. Series A. Series B
24 Positivity
20 Computers & Mathematics with Applications
20 Abstract and Applied Analysis
19 Applied Mathematics Letters
19 Annals of Operations Research
15 Applicable Analysis
15 Journal of Industrial and Management Optimization
13 Operations Research Letters
13 Mathematical Methods of Operations Research
9 Applied Mathematics and Computation
9 Journal of Nonlinear and Variational Analysis
8 Journal of Applied Mathematics and Computing
7 Asia-Pacific Journal of Operational Research
7 Taiwanese Journal of Mathematics
7 Journal of Applied Mathematics
6 Acta Mathematica Vietnamica
6 Computational and Applied Mathematics
6 Top
6 Journal of Convex Analysis
5 Applied Mathematics and Optimization
5 Journal of Computational and Applied Mathematics
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Acta Mathematicae Applicatae Sinica. English Series
5 Filomat
4 Opsearch
4 Japan Journal of Industrial and Applied Mathematics
4 Set-Valued Analysis
4 Turkish Journal of Mathematics
4 Optimization and Engineering
4 RAIRO. Operations Research
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Thai Journal of Mathematics
4 Journal of Nonlinear Science and Applications
4 Numerical Algebra, Control and Optimization
3 Bulletin of the Australian Mathematical Society
3 International Journal of Mathematics and Mathematical Sciences
3 Optimal Control Applications & Methods
3 Journal of Information & Optimization Sciences
3 Applied Mathematics and Mechanics. (English Edition)
3 Mathematical and Computer Modelling
3 International Journal of Computer Mathematics
3 Computational Optimization and Applications
3 Vietnam Journal of Mathematics
3 Optimization Methods & Software
3 Nonlinear Functional Analysis and Applications
3 OR Spectrum
3 Journal of Function Spaces and Applications
3 East Asian Mathematical Journal
3 S\(\vec{\text{e}}\)MA Journal
3 Journal of Nonlinear Analysis and Optimization: Theory & Applications
3 Journal of the Operations Research Society of China
3 SN Operations Research Forum
2 Chaos, Solitons and Fractals
2 Calcolo
2 Information Sciences
2 Kybernetika
2 Mathematics of Operations Research
2 Proceedings of the American Mathematical Society
2 Bulletin of the Iranian Mathematical Society
2 International Journal of Robust and Nonlinear Control
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Sciences (New York)
2 Journal of the Egyptian Mathematical Society
2 Opuscula Mathematica
2 Journal of Applied Analysis
2 Acta Mathematica Sinica. English Series
2 4OR
2 Journal of Fixed Point Theory and Applications
2 Bulletin of Mathematical Analysis and Applications
2 EURO Journal on Computational Optimization
2 Mathematical Sciences
2 Journal of Mathematical Modelling and Algorithms in Operations Research
2 Journal of Function Spaces
2 Open Mathematics
2 Minimax Theory and its Applications
2 Korean Journal of Mathematics
2 AIMS Mathematics
1 Computer Methods in Applied Mechanics and Engineering
1 Mathematical Methods in the Applied Sciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
...and 55 more Serials

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