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Lee, Gue Myung

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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.
Documents Indexed: 210 Publications since 1989, including 3 Books
Reviewing Activity: 1 Review
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Serials

21 Journal of Optimization Theory and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Applied Mathematics Letters
10 Journal of Global Optimization
9 Journal of Mathematical Analysis and Applications
9 Journal of Information & Optimization Sciences
9 Journal of Nonlinear and Convex Analysis
8 Fuzzy Sets and Systems
7 Taiwanese Journal of Mathematics
6 Journal of the Korean Mathematical Society
6 Optimization
5 Indian Journal of Pure & Applied Mathematics
5 Bulletin of the Korean Mathematical Society
5 Linear and Nonlinear Analysis
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
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 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 Carpathian Journal of Mathematics
1 Journal of Industrial and Management Optimization
1 Nonconvex Optimization and Its Applications
1 Optimization Letters
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

162 Publications have been cited 1,523 times in 937 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
86
1998
New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Zbl 1046.90059
Jeyakumar, V.; Lee, G. M.; Dinh, N.
71
2003
On robust multiobjective optimization. Zbl 1302.90199
Kuroiwa, Daishi; Lee, Gue Myung
43
2012
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
40
2009
Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090
Jeyakumar, V.; Lee, G. M.; Dinh, N.
34
2006
Generalized vector variational inequality and fuzzy extension. Zbl 0804.49004
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo; Cho, Sung Jin
34
1993
On vector quasivariational inequalities. Zbl 0866.49016
Lee, Gue Myung; Lee, Byung Soo; Chang, Shihsen
33
1996
On the generalized quasi-variational inequality problems. Zbl 0867.49008
Chang, Shihsen; Lee, Byung Soo; Wu, Xian; Cho, Yeol Je; Lee, Gue Myung
32
1996
Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091
Jeyakumar, V.; Lee, G. M.; Dinh, N.
29
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.
28
2011
Solution sensitivity of a class of variational inequalities. Zbl 0906.49002
Nguyen Dong Yen; Lee, Gue Myung
27
1997
Nonsmooth vector optimization problems and Minty vector variational inequalities. Zbl 1198.90343
Ansari, Q. H.; Lee, G. M.
26
2010
Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074
Jeyakumar, V.; Lee, G. M.
26
2008
Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
25
2005
Generalized vector variational inequality. Zbl 0862.49014
Lee, G. M.; Kim, D. S.; Lee, B. S.
25
1996
Minimax theorems for set-valued mappings. Zbl 1054.90086
Li, S. J.; Chen, G. Y.; Lee, G. M.
22
2000
Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity. Zbl 0989.90117
Kuk, H.; Lee, G. M.; Tanino, T.
22
2001
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
Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013
Lee, G. M.; Tam, N. N.; Yen, N. D.
19
2008
Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps. Zbl 1163.49019
Sach, Pham Huu; Tuan, Le Anh; Lee, Gue Myung
18
2009
On relations between vector optimization problems and vector variational inequalities. Zbl 1022.90024
Ward, D. E.; Lee, G. M.
18
2002
Infine functions, nonsmooth alternative theorems and vector optimization problems. Zbl 1142.90483
Sach, Pham Huu; Lee, Gue Myung; Kim, Do Sang
18
2003
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
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
18
2015
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
17
2012
On sensitivity analysis in vector optimization. Zbl 1194.90086
Lee, G. M.; Huy, N. Q.
16
2007
On nonsmooth optimality theorems for robust optimization problems. Zbl 1291.90253
Lee, Gue Myung; Son, Phạm Tiẽn
16
2014
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.
16
2011
On \(\epsilon\)-solutions for convex optimization problems with uncertainty data. Zbl 1334.90126
Lee, Jae Hyoung; Lee, Gue Myung
15
2012
Upper semicontinuity in a parametric general variational problem and application. Zbl 1190.49016
Tuan, Le Anh; Lee, Gue Myung; Sach, Pham Huu
14
2010
Nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity. Zbl 0910.90242
Kuk, Hun; Lee, Gue Myung; Kim, Do Sang
14
1998
On relations between vector variational inequality and vector optimization problem. Zbl 0969.49003
Lee, Gue Myung
14
2000
On proto-differentiability of generalized perturbation maps. Zbl 1104.49019
Lee, G. M.; Huy, N. Q.
14
2006
Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069
Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N.
14
2006
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
12
1998
On noncooperative vector equilibrium. Zbl 0858.90141
Lee, Gue Myung; Kim, Do Sang; Lee, Byung Soo
12
1996
On robust convex multiobjective optimization. Zbl 1334.90157
Kuroiwa, Daishi; Lee, Gue Myung
12
2014
On nonsmooth optimality theorems for robust multiobjective optimization problems. Zbl 1332.90240
Lee, Gue Myung; Lee, Jae Hyoung
12
2015
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
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
11
2010
A result on vector variational inequalities with polyhedral constraint sets. Zbl 1001.90061
Lee, G. M.; Yen, N. D.
11
2001
On duality theorems for nonsmooth Lipschitz optimization problems. Zbl 0987.90072
Kim, M. H.; Lee, G. M.
11
2001
A vector version of Minty’s lemma and applications. Zbl 0941.49007
Lee, B.-S.; Lee, G.-M.
11
1999
Nonsmooth invexity in multiobjective programming. Zbl 0826.90100
Lee, Gue Myung
11
1994
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
Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022
Lee, G. M.; Yen, N. D.
11
2011
Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022
Dinh, N.; Jeyakumar, V.; Lee, G. M.
10
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
On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems. Zbl 1446.90143
Lee, Jae Hyoung; Lee, Gue Myung
9
2018
Generalized convexity and nonsmooth problems of vector optimization. Zbl 1137.90658
Pham Huu Sach; Kim, Do Sang; Lee, Gue Myung
9
2005
Generalized vector-valued variational inequalities and fuzzy extensions. Zbl 0883.47082
Lee, Byung Soo; Lee, Gue Myung; Kim, Do Sang
9
1996
Symmetric duality with pseudo-invexity in variational problems. Zbl 0818.90109
Kim, D. S.; Lee, G. M.
9
1993
On monotone and strongly monotone vector variational inequalities. Zbl 0993.49013
Yen, Nguyen Dong; Lee, Gue Myung
9
2000
Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187
Lee, G. M.; Yen, N. D.
9
2014
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.
9
2013
Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property. Zbl 1315.90054
Chieu, Nguyen Huy; Lee, Gue Myung
9
2014
A relaxed constant positive linear dependence constraint qualification for mathematical programs with equilibrium constraints. Zbl 1272.90085
Chieu, Nguyen Huy; Lee, Gue Myung
9
2013
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.
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
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
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
Remarks on implicit vector variational inequalities. Zbl 1035.49005
Kum, Sangho; Lee, Gue Myung
8
2002
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.
8
2016
Vector variational inequalities for nondifferentiable convex vector optimization problems. Zbl 1130.90394
Lee, Gue Myung; Lee, Kwang Baik
7
2005
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
7
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.
7
2008
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
7
2008
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
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
Vector variational inequalities in a Hausdorff topological vector space. Zbl 1012.49008
Lee, Gue Myung; Kum, Sangho
7
2000
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
Counterexample and optimality conditions in differentiable multiobjective programming. Zbl 1017.90099
Kim, D. S.; Lee, G. M.; Lee, B. S.; Cho, S. J.
6
2001
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
6
1998
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
6
1999
Surrogate duality for robust optimization. Zbl 1317.90321
Suzuki, Satoshi; Kuroiwa, Daishi; Lee, Gue Myung
6
2013
Strong duality for proper efficiency in vector optimization. Zbl 1139.90028
Sach, P. H.; Kim, D. S.; Lee, G. M.
5
2006
Duality for \(\varepsilon \)-variational inequality. Zbl 1163.58302
Kum, S.; Kim, G. S.; Lee, G. M.
5
2009
A general vector-valued variational inequality and its fuzzy extension. Zbl 0919.47057
Park, Sehie; Lee, Byung-Soo; Lee, Gue Myung
5
1998
On convergence of descent methods for variational inequalities in a Hilbert space. Zbl 1031.90052
Konnov, I. V.; Kum, Sangho; Lee, Gue Myung
5
2002
Vector quasivariational inequalities for fuzzy mappings. II. Zbl 0937.47062
Chang, Shih-Sen; Lee, Gue Myung; Lee, Byung-Soo
5
1999
Variational inequalities for \((\eta,\theta)\)-pseudomonotone operators in nonreflexive Banach spaces. Zbl 0954.47052
Lee, B.-S.; Lee, G.-M.
5
1999
Duality theorems for multiobjective fractional minimization problems involving set functions. Zbl 0849.90114
Kim, Do Sang; Lee, Gue Myung; Jo, Cheong Lai
5
1996
Characterizations of Hartley proper efficiency in nonconvex vector optimization. Zbl 1203.90126
Lee, Gue Myung; Kim, Do Sang; Sach, Pham Huu
5
2005
On efficiency in nonlinear fractional vector maximization problems. Zbl 0817.90095
Lee, G. M.
5
1992
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
5
2009
Optimality conditions for approximate solutions of convex semi-infinite vector optimization problems. Zbl 1247.90238
Lee, Gue Myung; Kim, Gwi Soo; Dinh, Nguyen
5
2012
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.
5
2016
Control problems with generalized invexity. Zbl 0776.49016
Kim, D. S.; Lee, G. M.; Park, J. Y.; Son, K. H.
4
1993
Remarks on relations between vector variational inequality and vector optimization problem. Zbl 1042.90611
Lee, Gue Myung; Kim, Moon Hee
4
2001
Optimality conditions and duality theorems for multiobjective invex programs. Zbl 0733.90060
Kim, Do Sang; Lee, Gue Myung
4
1991
On \(\varepsilon\)-optimality conditions for convex set-valued optimization problems. Zbl 1223.90042
Lee, Gue Myung; Tuan, Le Anh
4
2009
Vector quasivariational inequalities for fuzzy mappings. I. Zbl 0923.47037
Chang, Shihsen; Lee, Gue Myung; Lee, Byung Soo
4
1997
Generalized properly efficient solutions of vector optimization problems. Zbl 1031.90039
Ward, D. E.; Lee, G. M.
4
2001
Saddle points and minimax theorems for vector-valued multifunctions on \(H\)-spaces. Zbl 0966.90080
Chang, S.-S.; Yuan, G. X.-Z.; Lee, G.-M.; Zhang, Xiao-Lan
4
1998
Minimax inequalities for vector-valued mappings on \(W\)-spaces. Zbl 0862.47047
Chang, Shih-Sen; Lee, Gue Myung; Lee, Byung Soo
4
1996
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
1
2019
On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems. Zbl 1446.90143
Lee, Jae Hyoung; Lee, Gue Myung
9
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
2
2018
On approximate solutions for robust convex semidefinite optimization problems. Zbl 1394.90459
Lee, Jae Hyoung; Lee, Gue Myung
1
2018
Generic properties for semialgebraic programs. Zbl 1396.90065
Lee, Gue Myung; Phạm, Tiên So’n
2
2017
Variational inequalities over split equality fixed point sets of strongly quasinonexpansive mappings with applications. Zbl 06876319
Lee, Gue Myung; Lin, Lai-Jiu
2
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.
8
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.
5
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.
3
2016
Stability and genericity for semi-algebraic compact programs. Zbl 1338.90320
Lee, Gue Myung; Phạm, Tiên Sȯn
3
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
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
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
18
2015
On nonsmooth optimality theorems for robust multiobjective optimization problems. Zbl 1332.90240
Lee, Gue Myung; Lee, Jae Hyoung
12
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
16
2014
On robust convex multiobjective optimization. Zbl 1334.90157
Kuroiwa, Daishi; Lee, Gue Myung
12
2014
Coderivatives of a Karush-Kuhn-Tucker point set map and applications. Zbl 1282.90187
Lee, G. M.; Yen, N. D.
9
2014
Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property. Zbl 1315.90054
Chieu, Nguyen Huy; Lee, Gue Myung
9
2014
On \(\epsilon\)-solutions for robust fractional optimization problems. Zbl 1333.90094
Lee, Jae Hyoung; Lee, Gue Myung
2
2014
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.
9
2013
A relaxed constant positive linear dependence constraint qualification for mathematical programs with equilibrium constraints. Zbl 1272.90085
Chieu, Nguyen Huy; Lee, Gue Myung
9
2013
Surrogate duality for robust optimization. Zbl 1317.90321
Suzuki, Satoshi; Kuroiwa, Daishi; Lee, Gue Myung
6
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
43
2012
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
17
2012
On \(\epsilon\)-solutions for convex optimization problems with uncertainty data. Zbl 1334.90126
Lee, Jae Hyoung; Lee, Gue Myung
15
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
5
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.
28
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.
16
2011
Fréchet and normal coderivatives of implicit multifunctions. Zbl 1225.49022
Lee, G. M.; Yen, N. D.
11
2011
On \(\epsilon\)-optimality theorems for convex vector optimization problems. Zbl 1235.90138
Kim, Gwi Soo; Lee, Gue Myung
3
2011
An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators. Zbl 1235.47062
Kien, B. T.; Lee, G. M.
2
2011
On \(\varepsilon\)-optimality conditions for multiobjective fractional optimization problems. Zbl 1270.90063
Kim, Moon H.; Kim, Gwi S.; Lee, Gue M.
1
2011
Nonsmooth vector optimization problems and Minty vector variational inequalities. Zbl 1198.90343
Ansari, Q. H.; Lee, G. M.
26
2010
Upper semicontinuity in a parametric general variational problem and application. Zbl 1190.49016
Tuan, Le Anh; Lee, Gue Myung; Sach, Pham Huu
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
11
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
2
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
\(\varepsilon \)-duality theorems for convex semidefinite optimization problems with conic constraints. Zbl 1184.49036
Lee, Gue Myung; Lee, Jae Hyoung
1
2010
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
40
2009
Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps. Zbl 1163.49019
Sach, Pham Huu; Tuan, Le Anh; Lee, Gue Myung
18
2009
Duality for \(\varepsilon \)-variational inequality. Zbl 1163.58302
Kum, S.; Kim, G. S.; Lee, G. M.
5
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
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.
2
2009
Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074
Jeyakumar, V.; Lee, G. M.
26
2008
Normal coderivative for multifunctions and implicit function theorems. Zbl 1140.49013
Lee, G. M.; Tam, N. N.; Yen, N. D.
19
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
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.
7
2008
Sensitivity of solutions to a parametric generalized equation. Zbl 1156.90437
Huy, N. Q.; Lee, G. M.
7
2008
Generalized variational-like inequalities with compositely monotone multifunctions. Zbl 1156.49008
Ceng, Lu-Chuan; Lee, Gue Myung; Yao, Jen-Chih
1
2008
On sensitivity analysis in vector optimization. Zbl 1194.90086
Lee, G. M.; Huy, N. Q.
16
2007
Continuity of the solution map in parametric affine variational inequalities. Zbl 1119.49010
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
7
2007
On \(\varepsilon\)-approximate solutions for convex semidefinite optimization problems. Zbl 1194.90065
Kim, Gwi Soo; Lee, Gue Myung
3
2007
On optimality conditions for abstract convex vector optimization problems. Zbl 1135.90399
Lee, Gue Myung; Lee, Kwang Baik
1
2007
Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090
Jeyakumar, V.; Lee, G. M.; Dinh, N.
34
2006
On proto-differentiability of generalized perturbation maps. Zbl 1104.49019
Lee, G. M.; Huy, N. Q.
14
2006
Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069
Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N.
14
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.
10
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.
8
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
Sach, Pham Huu; 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
25
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
9
2005
Vector variational inequalities for nondifferentiable convex vector optimization problems. Zbl 1130.90394
Lee, Gue Myung; Lee, Kwang Baik
7
2005
Characterizations of Hartley proper efficiency in nonconvex vector optimization. Zbl 1203.90126
Lee, Gue Myung; Kim, Do Sang; Sach, Pham Huu
5
2005
On optimality and duality for nonsmooth multiobjective fractional optimization problems. Zbl 1224.90158
Kim, Gwi Soo; Kim, Moon Hee; Lee, Gue Myung
3
2005
Generalized Lagrange multipliers for nonconvex directionally differentiable programs. Zbl 1115.90064
Nguyen Dinh; Lee, Gue Myung; Le Anh Tuan
2
2005
On solution sets for affine vector variational inequality. Zbl 1224.49047
Lee, Gue Myung; Bu, In Ja
1
2005
Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091
Jeyakumar, V.; Lee, G. M.; Dinh, N.
29
2004
Efficiency and generalised convexity in vector optimisation problems. Zbl 1177.90367
Pham, Huu Sach; 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
New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Zbl 1046.90059
Jeyakumar, V.; Lee, G. M.; Dinh, N.
71
2003
Infine functions, nonsmooth alternative theorems and vector optimization problems. Zbl 1142.90483
Sach, Pham Huu; Lee, Gue Myung; Kim, Do Sang
18
2003
On second order necessary optimality conditions for vector optimization problems. Zbl 1038.90071
Lee, Gue Myung; Kim, Moon Hee
3
2003
An existence result for implicit vector variational inequality with multifunctions. Zbl 1096.49004
Kum, Sangho; Lee, Gue Myung; Yao, Jen-Chih
1
2003
On relations between vector optimization problems and vector variational inequalities. Zbl 1022.90024
Ward, D. E.; Lee, G. M.
18
2002
Remarks on implicit vector variational inequalities. Zbl 1035.49005
Kum, Sangho; Lee, Gue Myung
8
2002
On convergence of descent methods for variational inequalities in a Hilbert space. Zbl 1031.90052
Konnov, I. V.; Kum, Sangho; Lee, Gue Myung
5
2002
Variational-type inequalities for \((\eta,\theta,\delta)\)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces. Zbl 1032.47043
Lee, B.-S.; Lee, G. M.; Lee, S.-J.
3
2002
Vector variational inequalities involving vector maximal points. Zbl 1028.49004
Kim, M. H.; Kum, S. H.; Lee, G. M.
1
2002
Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity. Zbl 0989.90117
Kuk, H.; Lee, G. M.; Tanino, T.
22
2001
A result on vector variational inequalities with polyhedral constraint sets. Zbl 1001.90061
Lee, G. M.; Yen, N. D.
11
2001
On duality theorems for nonsmooth Lipschitz optimization problems. Zbl 0987.90072
Kim, M. H.; Lee, G. M.
11
2001
Counterexample and optimality conditions in differentiable multiobjective programming. Zbl 1017.90099
Kim, D. S.; Lee, G. M.; Lee, B. S.; Cho, S. J.
6
2001
Remarks on relations between vector variational inequality and vector optimization problem. Zbl 1042.90611
Lee, Gue Myung; Kim, Moon Hee
4
2001
Generalized properly efficient solutions of vector optimization problems. Zbl 1031.90039
Ward, D. E.; Lee, G. M.
4
2001
Fuzzy integrals for set-valued mappings. Zbl 0964.28010
Cho, Sung Jin; Lee, Byung Soo; Lee, Gue Myung; Kim, Do Sang
3
2001
Upper subderivatives and generalized gradients of the marginal function of a non-Lipschitzian program. Zbl 0996.90078
Ward, D. E.; Lee, G. M.
1
2001
...and 62 more Documents
all top 5

Cited by 770 Authors

63 Lee, Gue Myung
55 Jeyakumar, Vaithilingam
50 Yao, Jen-Chih
36 Li, Guoyin
35 Kim, Do Sang
30 Ansari, Qamrul Hasan
27 Chuong, Thai Doan
22 Huang, Nan-Jing
22 Sach, Pham Huu
22 Nguyen Dong Yen
21 Mishra, Shashi Kant
17 Sun, Xiangkai
15 Goberna, Miguel Angel
15 Lee, Byung Soo
15 Phan Quôc Khánh
14 Lee, Jae Hyoung
14 Li, Shengjie
14 Tuan, Le Anh
13 Lin, Lai-Jiu
13 Zafarani, Jafar
11 Ceng, Lu-Chuan
10 López-Cerdá, Marco Antonio
10 Schöbel, Anita
9 Chen, Chunrong
9 Ding, Xie Ping
9 Fang, Donghui
9 Huy, Nguyen Quang
9 Jayswal, Anurag
9 Long, Xianjun
9 Salahuddin
9 Teo, Kok Lay
9 Yang, Xiaoqi
8 Al-Homidan, Suliman S.
8 Antczak, Tadeusz
8 Chang, Shih-Sen
8 Chieu, Nguyen Huy
8 Flores-Bazán, Fabián
8 Nobakhtian, Soghra
8 Tung, Le Thanh
8 Volle, Michel
7 Anh, Lam Quoc
7 Fang, Yaping
7 Ivanov, Vsevolod Ivanov
7 Kim, Moon Hee
7 Kuroiwa, Daishi
7 Peng, Jianwen
7 Schaible, Siegfried
7 Soleimani-damaneh, Majid
7 Son, Ta Quang
7 Suzuki, Satoshi
7 Wei, Hongzhi
7 Yang, Xinmin
6 Ahmad, Izhar
6 Boţ, Radu Ioan
6 Chen, Jiawei
6 Hieu, Vu Trung
6 Jiao, Liguo
6 Li, Jun
6 Qui, Nguyen Thanh
6 Srisatkunarajah, Sivakolundu
6 Wangkeeree, Rabian
6 Wen, Chingfeng
6 Zalmai, G. J.
6 Zhong, Ren-you
5 Anh, Nguyen Le Hoang
5 Chai, Yi
5 Cho, Yeol Je
5 Fakhar, Majid
5 Gong, Xunhua
5 Huong, Nguyen Thi Thu
5 Konnov, Igor V.
5 Kostyukova, Olga Ivanova
5 Laha, Vivek
5 Lalitha, C. S.
5 Lee, Wonjung
5 Li, Chong
5 Li, Xiaobing
5 Minh, Nguyen Ba
5 Novo-Sanjurjo, Vicente
5 Rojas-Medar, Marko Antonio
5 Rufián-Lizana, Antonio
5 Ruiz-Garzón, Gabriel
5 Sisarat, Nithirat
5 Tchemisova, Tatiana V.
5 Wang, Shouyang
5 Zhang, Yu
4 Ahmad, Rais
4 Chang, Tong-Huei
4 Chen, Chi-Ming
4 Chen, Guangya
4 Do Van Luu
4 Doagooei, Ali Reza
4 Dutta, Joydeep
4 Farajzadeh, Ali P.
4 Fu, Hongyong
4 Gadhi, Nazih Abderrazzak
4 Ide, Jonas
4 Jiménez, Bienvenido
4 Kien, Bui Trong
4 Köbis, Elisabeth
...and 670 more Authors
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Cited in 123 Serials

137 Journal of Optimization Theory and Applications
75 Journal of Global Optimization
66 Optimization
55 Journal of Mathematical Analysis and Applications
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
42 Optimization Letters
27 Journal of Inequalities and Applications
26 Numerical Functional Analysis and Optimization
26 European Journal of Operational Research
24 Fixed Point Theory and Applications
22 Fuzzy Sets and Systems
20 Abstract and Applied Analysis
20 Positivity
19 Mathematical Programming. Series A. Series B
19 SIAM Journal on Optimization
18 Applied Mathematics Letters
18 Set-Valued and Variational Analysis
17 Computers & Mathematics with Applications
13 Annals of Operations Research
12 Mathematical Methods of Operations Research
10 Operations Research Letters
8 Applicable Analysis
8 Applied Mathematics and Computation
8 Journal of Applied Mathematics and Computing
7 Journal of Industrial and Management Optimization
6 Journal of Applied Mathematics
5 Top
5 Taiwanese Journal of Mathematics
4 Journal of Computational and Applied Mathematics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Set-Valued Analysis
4 Turkish Journal of Mathematics
4 Journal of Convex Analysis
4 Journal of Nonlinear Science and Applications
3 Bulletin of the Australian Mathematical Society
3 Acta Mathematica Vietnamica
3 Applied Mathematics and Optimization
3 International Journal of Mathematics and Mathematical Sciences
3 Opsearch
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 Computational and Applied Mathematics
3 Vietnam Journal of Mathematics
3 Optimization and Engineering
3 RAIRO. Operations Research
3 Journal of Function Spaces and Applications
2 Chaos, Solitons and Fractals
2 Calcolo
2 Mathematics of Operations Research
2 Proceedings of the American Mathematical Society
2 Asia-Pacific Journal of Operational Research
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Sciences (New York)
2 Journal of the Egyptian Mathematical Society
2 Filomat
2 Journal of Applied Analysis
2 Optimization Methods & Software
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 OR Spectrum
2 Thai Journal of Mathematics
2 Journal of Fixed Point Theory and Applications
2 Numerical Algebra, Control and Optimization
2 Journal of Nonlinear Analysis and Optimization: Theory & Applications
2 Mathematical Sciences
2 Journal of Mathematical Modelling and Algorithms in Operations Research
2 Journal of Function Spaces
2 Journal of Nonlinear and Variational Analysis
2 SN Operations Research Forum
1 Computer Methods in Applied Mechanics and Engineering
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Information Sciences
1 Journal of Approximation Theory
1 Kybernetika
1 Mathematische Nachrichten
1 Meccanica
1 Networks
1 Tohoku Mathematical Journal. Second Series
1 Optimal Control Applications & Methods
1 OR Spektrum
1 International Journal of Approximate Reasoning
1 YUJOR. Yugoslav Journal of Operations Research
1 Russian Mathematics
1 Opuscula Mathematica
1 The Journal of Artificial Intelligence Research (JAIR)
1 Complexity
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Discrete Dynamics in Nature and Society
1 Journal of Interdisciplinary Mathematics
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Journal of the Australian Mathematical Society
1 Journal of Systems Science and Complexity
1 Central European Journal of Mathematics
1 4OR
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