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Author ID: phan-quoc-khanh. Recent zbMATH articles by "Phan Quôc Khánh"
Published as: Khanh, Phan Quoc; Khanh, P. Q.; Phan Quoc Khanh; Khanh, Phan Q.; Phan Quôc Khánh
External Links: MGP
all top 5

Co-Authors

14 single-authored
19 Anh, Lam Quoc
14 Quan, Nguyen Hong
11 Tuan, Nguyen Dinh
8 Tung, Nguyen Minh
7 Anh, Nguyen Le Hoang
7 Tung, Le Thanh
6 Võ Sĩ Trọng Long
5 Diem, Huynh Thi Hong
5 Luu, Le Minh
5 Quy, Dinh Ngoc
5 Truong Quang Bao
4 Le Minh Luu
4 Tam, Tran Ngoc
4 Van, Dang Thi My
3 Dinh The Luc
3 Hai, Le Phuoc
3 Hai, Nguyen Xuan
3 Lam Quoc Anh
3 Nuong, Tran Hue
3 Yao, Jen-Chih
2 Bao, Nguyen Xuan Duy
2 Duy, Tran Quoc
2 Moradi, Sirous
2 Nguyen Xuan Hai
2 Soubeyran, Antoine
2 Tran Hue Nuong
1 Antipin, Anatoliĭ Sergeevich
1 Banks, Harvey Thomas
1 Brunovská, A.
1 Brunovský, Pavol
1 Bui Doan Khanh
1 Burns, John A.
1 Dang Thi My Van
1 Deumlich, Reinhard
1 Dontchev, Asen L.
1 Duong Minh Duc
1 Dương Việt Thông
1 Elster, Karl-Heinz
1 Eremin, Ivan Ivanovich
1 Faner, M. A.
1 Farajzadeh, Ali P.
1 Fayard, Didier
1 Fortuna, Zenon
1 Gessing, Ryszard S.
1 Giannessi, Franco
1 Gicev, Todor R.
1 Grossmann, Christian
1 Guddat, Jürgen
1 Gupta, Pankaj
1 Henrion, René
1 Hille, G.
1 Holnicki, Piotr
1 Huerga, Lidia
1 Huynh Thi Hong Diem
1 Janiak, Andrzej
1 Jankowska-Zorychta, Zofia
1 Janus, Stefan
1 Jurina, Lorenzo
1 Kaliszewski, Ignacy
1 Khobotov, Ye. N.
1 Krarup, Jakob
1 Kreglewski, Tomasz
1 Kruger, Alexander Y.
1 Krynski, Stanislaw L.
1 Lê Dung Muu
1 Libura, Marek
1 Lin, Lai-Jiu
1 Maier, Giulio
1 Malanowski, Kazimierz D.
1 Martínez-Legaz, Juan-Enrique
1 Nguyen Dinh Quyet
1 Nguyen Dinh Tuan
1 Nguyen Huu Anh
1 Nguyen Thien Luan
1 Novo-Sanjurjo, Vicente
1 Nykowski, Ireneusz
1 Olbrot, Andrzej W.
1 Piehler, Joachim
1 Plateau, Gérard
1 Plubtieng, Somyot
1 Propoi, Anatoli I.
1 Pruzan, Peter Mark
1 Przeworska-Rolewicz, Danuta
1 Quyen, Ho Thuc
1 Rolewicz, Stefan
1 Ruszczyński, Andrzej
1 Saguez, Christian
1 Sokołowski, Jan
1 Sombut, Kamonrat
1 Son, Tran Trinh Minh
1 Sosiński, R.
1 Sosnowski, Janusz S.
1 Strodiot, Jean-Jacques
1 Tammer, Christiane
1 Tatjewski, Piotr
1 Thao, Nguyen Hieu
1 Théra, Michel A.
1 Tran Duc Van
1 Tran Trinh Minh Son
1 Twardy, L.
...and 5 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,894 times in 663 Documents Cited by Year
Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. Zbl 1048.49004
Anh, L. Q.; Khanh, P. Q.
116
2004
On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Zbl 1146.90516
Lam Quoc Anh; Phan Quoc Khanh
73
2007
Continuity of solution maps of parametric quasiequilibrium problems. Zbl 1187.90284
Anh, Lam Quoc; Khanh, Phan Quoc
64
2010
On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. Zbl 1104.90041
Anh, L. Q.; Khanh, P. Q.
64
2006
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
Existence of solutions to general quasiequilibrium problems and applications. Zbl 1146.49004
Nguyen Xuan Hai; Phan Quoc Khanh
50
2007
Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces. Zbl 1156.90025
Anh, Lam Quoc; Khanh, Phan Quoc
49
2007
The solution existence of general variational inclusion problems. Zbl 1108.49020
Hai, N. X.; Khanh, P. Q.
48
2007
Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities. Zbl 1146.49006
Khanh, P. Q.; Luu, L. M.
46
2007
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. II. Lower semicontinuities applications. Zbl 1156.90443
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems. Zbl 1211.90243
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions. Zbl 1188.90274
Anh, Lam Quoc; Khanh, Phan Quoc
39
2008
Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives. Zbl 1149.90134
Khanh, P. Q.; Tuan, N. D.
37
2007
On the existence of solutions to quasivariational inclusion problems. Zbl 1190.49009
Hai, Nguyen Xuan; Khanh, Phan Quoc; Quan, Nguyen Hong
36
2009
On the existence of solutions to vector quasivariational inequalities and quasicomplementarity problems with applications to traffic network equilibria. Zbl 1059.49017
Phan Quoc Khanh; Le Minh Luu
36
2004
Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems. Zbl 1165.90026
Anh, Lam Quoc; Khanh, Phan Quoc
32
2008
Proper solutions of vector optimization problems. Zbl 0795.90057
Khanh, P. Q.
31
1992
Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. Zbl 1097.49013
Khanh, Phan Quoc; Luu, Le Minh
31
2005
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization. Zbl 1251.90386
Le Hoang Anh, Nguyen; Khanh, Phan Quoc; Tung, Le Thanh
31
2011
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. I: Upper semicontinuities. Zbl 1192.90208
Anh, Lam Quoc; Khanh, Phan Quoc
31
2008
Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces. Zbl 1176.90584
Anh, L. Q.; Khanh, P. Q.
29
2009
Well-posedness for vector quasiequilibria. Zbl 1176.49030
Anh, Lam Quoc; Khanh, Phan Quoc; Van, Dang Thi My; Yao, Jen-Chih
29
2009
Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems. Zbl 1097.49012
Khanh, Phan Quoc; Luu, Le Minh
28
2005
On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings. Zbl 1216.49018
Khanh, P. Q.; Quy, D. N.
25
2011
Generalized KKM-type theorems in GFC-spaces and applications. Zbl 1176.47041
Khanh, Phan Quoc; Quan, Nguyen Hong; Yao, Jen-Chih
23
2009
On Hölder continuity of approximate solutions to parametric equilibrium problems. Zbl 1237.49032
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
23
2012
Generic stability and essential components of generalized KKM points and applications. Zbl 1229.58016
Khanh, P. Q.; Quan, N. H.
22
2011
Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization. Zbl 1189.90138
Khanh, P. Q.; Tuan, N. D.
22
2009
Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives. Zbl 1300.90063
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
22
2013
Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces. Zbl 1185.49007
Khanh, Phan Quoc; Quan, Nguyen Hong
21
2010
Variational sets of multivalued mappings and a unified study of optimality conditions. Zbl 1170.49023
Khanh, P. Q.; Tuan, N. D.
21
2008
A projection-type algorithm for pseudomonotone nonlipschitzian multivalued variational inequalities. Zbl 1066.65068
Bao, T. Q.; Khanh, P. Q.
21
2005
Systems of set-valued quasivariational inclusion problems. Zbl 1126.49022
Nguyen Xuan Hai; Phan Quoc Khanh
20
2007
Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints. Zbl 1254.90244
Anh, L. Q.; Khanh, P. Q.; Van, D. T. M.
20
2012
Versions of Ekeland’s variational principle involving set perturbations. Zbl 1292.58012
Khanh, Phan Quoc; Quy, Dinh Ngoc
19
2013
On Caristi-Kirk’s theorem and Ekeland’s variational principle for Pareto extrema. Zbl 0767.47039
Phan Quoc Khanh
19
1989
A generalized distance and enhanced Ekeland’s variational principle for vector functions. Zbl 1194.58014
Khanh, Phan Quoc; Quy, Dinh Ngoc
19
2010
First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces. Zbl 1143.90386
Khanh, P. Q.; Tuan, N. D.
18
2006
On higher-order sensitivity analysis in nonsmooth vector optimization. Zbl 1323.90061
Diem, H. T. H.; Khanh, P. Q.; Tung, L. T.
17
2014
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions. Zbl 1291.90225
Khanh, Phan Quoc; Tuan, Nguyen Dinh
16
2013
An induction theorem and nonlinear regularity models. Zbl 1331.47073
Khanh, Phan Q.; Kruger, Alexander Y.; Thao, Nguyen H.
16
2015
Invariant-point theorems and existence of solutions to optimization-related problems. Zbl 1297.90127
Phan Quoc Khanh; Vo Si Trong Long
15
2014
On necessary optimality conditions in vector optimization problems. Zbl 0621.90084
Khanh, P. Q.; Nuong, T. H.
15
1988
An induction theorem and general open mapping theorems. Zbl 0644.46002
Phan Quoc Khanh
15
1986
General existence theorems, alternative theorems and applications to minimax problems. Zbl 1192.49015
Khanh, Phan Quoc; Quan, Nguyen Hong
14
2010
First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization. Zbl 1162.49026
Khanh, Phan Quoc; Tuan, Nguyen Dinh
14
2008
Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization. Zbl 1272.90076
Anh, N. L. H.; Khanh, P. Q.
14
2013
Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints. Zbl 1337.90081
Khanh, Phan Quoc; Tung, Nguyen Minh
13
2015
Optimality conditions via norm scalarization in vector optimization. Zbl 0780.90081
Phan Quoc Khanh
13
1993
On Ekeland’s variational principle for Pareto minima of set-valued mappings. Zbl 1247.90237
Khanh, P. Q.; Quy, D. N.
13
2012
Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications. Zbl 1188.49006
Hai, Nguyen Xuan; Khanh, Phan Quoc; Quan, Nguyen Hong
11
2009
Variational sets: calculus and applications to nonsmooth vector optimization. Zbl 1211.49024
Hoang Anh, Nguyen Le; Khanh, Phan Quoc; Tung, Le Thanh
11
2011
On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities. Zbl 1312.49048
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
10
2015
Are several recent generalizations of Ekeland’s variational principle more general than the original principle? Zbl 1083.49020
Truong Quang Bao; Phan Quoc Khanh
10
2003
Second-order optimality conditions with the envelope-like effect for set-valued optimization. Zbl 1327.90287
Khanh, P. Q.; Tung, N. M.
10
2015
Existence conditions in symmetric multivalued vector quasiequilibrium problems. Zbl 1166.49017
Anh, Lam Quoc; Khanh, Phan Quoc
10
2007
Variational principles with generalized distances and the modelization of organizational change. Zbl 1368.49006
Bao, Truong Q.; Khanh, Phan Q.; Soubeyran, Antoine
9
2016
Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints. Zbl 1351.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
9
2016
Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives. Zbl 1326.90075
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
9
2014
Topologically-based characterizations of the existence of solutions of optimization-related problems. Zbl 1334.49012
Khanh, Phan Quoc; Quan, Nguyen Hong
9
2015
Invex-convexlike functions and duality. Zbl 0843.90109
Khanh, P. Q.
9
1995
Existence results for general inclusions using generalized KKM theorems with applications to minimax problems. Zbl 1202.49009
Khanh, P. Q.; Quan, N. H.
9
2010
Versions of the subgradient extragradient method for pseudomonotone variational inequalities. Zbl 07344877
Khanh, Phan Quoc; Thong, Duong Viet; Vinh, Nguyen The
9
2020
Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization. Zbl 1231.49022
Lam Quoc Anh; Phan Quoc Khanh; Dang Thi My Van
9
2011
Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization. Zbl 1244.90221
Khanh, P. Q.; Long, V. S. T.; Quan, N. H.
9
2011
First and second-order optimality conditions using approximations for vector equilibrium problems with constraints. Zbl 1287.90078
Khanh, Phan Quoc; Tung, Le Thanh
9
2013
A topological characterization of the existence of fixed points and applications. Zbl 1297.54088
Khanh, Phan Quoc; Quan, Nguyen Hong
8
2014
Existence results for \(\varphi\)-quasimonotone equilibrium problems in convex metric spaces. Zbl 1391.90588
Jafari, S.; Farajzadeh, A. P.; Moradi, S.; Khanh, P. Q.
8
2017
Systems of multivalued quasiequilibrium problems. Zbl 1181.49009
Nguyen Xuan Hai; Phan Quoc Khanh
8
2006
First and second-order optimality conditions without differentiability in multivalued vector optimization. Zbl 1332.90237
Khanh, Phan Quoc; Tung, Nguyen Minh
7
2015
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. I: \(l\)-stability and set-valued directional derivatives. Zbl 1291.90224
Khanh, Phan Quoc; Tuan, Nguyen Dinh
7
2013
About semicontinuity of set-valued maps and stability of quasivariational inclusions. Zbl 1296.90120
Anh, Lam Quoc; Khanh, Phan Quoc; Quy, Dinh Ngoc
7
2014
Continuity properties of solution maps of parametric lexicographic equilibrium problems. Zbl 1333.90129
Anh, L. Q.; Duy, T. Q.; Khanh, P. Q.
7
2016
Calculus and applications of Studniarski’s derivatives to sensitivity and implicit function theorems. Zbl 1318.49028
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
7
2014
Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010
Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan
7
2006
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems. Zbl 1440.90081
Hai, L. P.; Huerga, L.; Khanh, P. Q.; Novo, V.
7
2019
Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints. Zbl 1168.49017
Khanh, P. Q.; Tuan, N. D.
7
2009
On necessary and sufficient conditions in vector optimization. Zbl 0662.90076
Khanh, P. Q.; Nuong, T. H.
7
1989
An open mapping theorem for families of multifunctions. Zbl 0679.54015
Phan Quoc Khanh
7
1988
The existence of \(\varepsilon\)-solutions to general quasiequilibrium problems. Zbl 1217.49013
Nguyen Xuan Hai; Phan Quoc Khanh
7
2007
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions. Zbl 1280.90106
Khanh, Phan Quoc; Tuan, Nguyen Dinh
7
2013
Higher-order Karush-Kuhn-Tucker conditions in nonsmooth optimization. Zbl 1437.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
7
2018
Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions. Zbl 0839.90102
Khanh, P. Q.
6
1995
Versions of the Weierstrass theorem for bifunctions and solution existence in optimization. Zbl 1421.90138
Khanh, Phan Quoc; Quan, Nguyen Hong
6
2019
Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials. Zbl 1237.90252
Khanh, Phan Quoc; Quyen, Ho Thuc; Yao, Jen-Chih
6
2011
On the Mangasarian-Fromovitz constraint qualification and Karush-Kuhn-Tucker conditions in nonsmooth semi-infinite multiobjective programming. Zbl 1517.90134
Khanh, Phan Quoc; Tung, Nguyen Minh
5
2020
Some algorithms for solving mixed variational inequalities. Zbl 1101.65068
Truong Quang Bao; Phan Quoc Khanh
4
2006
Sensitivity analysis for weak and strong vector quasiequilibrium problems. Zbl 1202.90247
Lam Quoc Anh; Phan Quoc Khanh
4
2009
Corrigendum to “Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints”. Zbl 1236.49034
Khanh, P. Q.; Tuan, N. D.
4
2011
Approximations of optimization-related problems in terms of variational convergence. Zbl 1338.90400
Huynh Thi Hong Diem; Phan Quoc Khanh
3
2016
Continuity of approximate solution maps of primal and dual vector equilibrium problems. Zbl 1417.90136
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
3
2019
On topological existence theorems and applications to optimization-related problems. Zbl 1299.54043
Khanh, Phan Quoc; Lin, Lai Jiu; Long, Vo Si Trong
3
2014
On Hölder calmness and Hölder well-posedness of vector quasi-equilibrium problems. Zbl 1293.49052
Anh, Lam Quoc; Khanh, Phan Quoc; Tam, Tran Ngoc; van, Dang Thi My
3
2013
Criteria for epi/hypo convergence of finite-valued bifunctions. Zbl 1320.49008
Diem, Huynh Thi Hong; Khanh, Phan Quoc
3
2015
First- and second-order optimality conditions for multiobjective fractional programming. Zbl 1376.90058
Khanh, P. Q.; Tung, L. T.
3
2015
LP well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints. Zbl 1474.90461
Khanh, Phan Quoc; Plubtieng, Somyot; Sombut, Kamonrat
3
2014
A unified study of existence theorems in topologically based settings and applications in optimization. Zbl 1498.54078
Khanh, Phan Quoc; Quan, Nguyen Hong
3
2022
Necessary optimality conditions in problems involving set-valued maps with parameters. Zbl 1087.90528
Phan Quoc Khanh; Le Minh Luu
3
2001
Optimality conditions without continuity in multivalued optimization using approximations as generalized derivatives. Zbl 1247.90290
Khanh, Phan Quoc; Tuan, Nguyen Dinh
3
2011
Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives. Zbl 1271.90082
Khanh, P. Q.; Tung, L. T.
3
2012
A unified study of existence theorems in topologically based settings and applications in optimization. Zbl 1498.54078
Khanh, Phan Quoc; Quan, Nguyen Hong
3
2022
Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order. Zbl 1481.90296
Anh, L. Q.; Duy, T. Q.; Khanh, P. Q.
1
2021
Versions of the subgradient extragradient method for pseudomonotone variational inequalities. Zbl 07344877
Khanh, Phan Quoc; Thong, Duong Viet; Vinh, Nguyen The
9
2020
On the Mangasarian-Fromovitz constraint qualification and Karush-Kuhn-Tucker conditions in nonsmooth semi-infinite multiobjective programming. Zbl 1517.90134
Khanh, Phan Quoc; Tung, Nguyen Minh
5
2020
General theorems of the Knaster-Kuratowski-Mazurkiewicz type and applications to the existence study in optimization. Zbl 1527.90238
Phan Quoc Khanh; Vo Si Trong Long
2
2020
Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems. Zbl 1450.90052
Diem, H. T. H.; Khanh, P. Q.
2
2020
An induction theorem and Ekeland’s variational principle in partial metric spaces with applications. Zbl 1455.90153
Hai, Le Phuoc; Khanh, Phan Quoc
2
2020
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems. Zbl 1440.90081
Hai, L. P.; Huerga, L.; Khanh, P. Q.; Novo, V.
7
2019
Versions of the Weierstrass theorem for bifunctions and solution existence in optimization. Zbl 1421.90138
Khanh, Phan Quoc; Quan, Nguyen Hong
6
2019
Continuity of approximate solution maps of primal and dual vector equilibrium problems. Zbl 1417.90136
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
3
2019
A fixed-component point theorem and applications. Zbl 1416.54022
Khanh, Phan Quoc; Quan, Nguyen Hong
1
2019
Higher-order Karush-Kuhn-Tucker conditions in nonsmooth optimization. Zbl 1437.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
7
2018
Fixed points, continuous selections, and existence of solution of optimization-related problems. Zbl 1390.90445
Phan Quoc Khanh; Vo Si Trong Long
2
2018
Weak finite intersection characterizations of existence in optimization. Zbl 1391.49008
Phan Quoc Khanh; Vo Si Trong Long
1
2018
Existence results for \(\varphi\)-quasimonotone equilibrium problems in convex metric spaces. Zbl 1391.90588
Jafari, S.; Farajzadeh, A. P.; Moradi, S.; Khanh, P. Q.
8
2017
Higher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering cones. Zbl 1379.49020
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
2
2017
Variational principles with generalized distances and the modelization of organizational change. Zbl 1368.49006
Bao, Truong Q.; Khanh, Phan Q.; Soubeyran, Antoine
9
2016
Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints. Zbl 1351.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
9
2016
Continuity properties of solution maps of parametric lexicographic equilibrium problems. Zbl 1333.90129
Anh, L. Q.; Duy, T. Q.; Khanh, P. Q.
7
2016
Approximations of optimization-related problems in terms of variational convergence. Zbl 1338.90400
Huynh Thi Hong Diem; Phan Quoc Khanh
3
2016
On the stability and Levitin-Polyak well-posedness of parametric multiobjective generalized games. Zbl 1357.49104
Phan Quoc Khanh; Le Minh Luu; Tran Trinh Minh Son
2
2016
An induction theorem and nonlinear regularity models. Zbl 1331.47073
Khanh, Phan Q.; Kruger, Alexander Y.; Thao, Nguyen H.
16
2015
Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints. Zbl 1337.90081
Khanh, Phan Quoc; Tung, Nguyen Minh
13
2015
On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities. Zbl 1312.49048
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
10
2015
Second-order optimality conditions with the envelope-like effect for set-valued optimization. Zbl 1327.90287
Khanh, P. Q.; Tung, N. M.
10
2015
Topologically-based characterizations of the existence of solutions of optimization-related problems. Zbl 1334.49012
Khanh, Phan Quoc; Quan, Nguyen Hong
9
2015
First and second-order optimality conditions without differentiability in multivalued vector optimization. Zbl 1332.90237
Khanh, Phan Quoc; Tung, Nguyen Minh
7
2015
Criteria for epi/hypo convergence of finite-valued bifunctions. Zbl 1320.49008
Diem, Huynh Thi Hong; Khanh, Phan Quoc
3
2015
First- and second-order optimality conditions for multiobjective fractional programming. Zbl 1376.90058
Khanh, P. Q.; Tung, L. T.
3
2015
On higher-order sensitivity analysis in nonsmooth vector optimization. Zbl 1323.90061
Diem, H. T. H.; Khanh, P. Q.; Tung, L. T.
17
2014
Invariant-point theorems and existence of solutions to optimization-related problems. Zbl 1297.90127
Phan Quoc Khanh; Vo Si Trong Long
15
2014
Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives. Zbl 1326.90075
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
9
2014
A topological characterization of the existence of fixed points and applications. Zbl 1297.54088
Khanh, Phan Quoc; Quan, Nguyen Hong
8
2014
About semicontinuity of set-valued maps and stability of quasivariational inclusions. Zbl 1296.90120
Anh, Lam Quoc; Khanh, Phan Quoc; Quy, Dinh Ngoc
7
2014
Calculus and applications of Studniarski’s derivatives to sensitivity and implicit function theorems. Zbl 1318.49028
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
7
2014
On topological existence theorems and applications to optimization-related problems. Zbl 1299.54043
Khanh, Phan Quoc; Lin, Lai Jiu; Long, Vo Si Trong
3
2014
LP well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints. Zbl 1474.90461
Khanh, Phan Quoc; Plubtieng, Somyot; Sombut, Kamonrat
3
2014
Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives. Zbl 1300.90063
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
22
2013
Versions of Ekeland’s variational principle involving set perturbations. Zbl 1292.58012
Khanh, Phan Quoc; Quy, Dinh Ngoc
19
2013
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions. Zbl 1291.90225
Khanh, Phan Quoc; Tuan, Nguyen Dinh
16
2013
Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization. Zbl 1272.90076
Anh, N. L. H.; Khanh, P. Q.
14
2013
First and second-order optimality conditions using approximations for vector equilibrium problems with constraints. Zbl 1287.90078
Khanh, Phan Quoc; Tung, Le Thanh
9
2013
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. I: \(l\)-stability and set-valued directional derivatives. Zbl 1291.90224
Khanh, Phan Quoc; Tuan, Nguyen Dinh
7
2013
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions. Zbl 1280.90106
Khanh, Phan Quoc; Tuan, Nguyen Dinh
7
2013
On Hölder calmness and Hölder well-posedness of vector quasi-equilibrium problems. Zbl 1293.49052
Anh, Lam Quoc; Khanh, Phan Quoc; Tam, Tran Ngoc; van, Dang Thi My
3
2013
Well-posedness of a parametric traffic network problem. Zbl 1258.90022
Khanh, Phan Quoc; Luu, Le Minh; Son, Tran Trinh Minh
3
2013
On Hölder continuity of approximate solutions to parametric equilibrium problems. Zbl 1237.49032
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
23
2012
Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints. Zbl 1254.90244
Anh, L. Q.; Khanh, P. Q.; Van, D. T. M.
20
2012
On Ekeland’s variational principle for Pareto minima of set-valued mappings. Zbl 1247.90237
Khanh, P. Q.; Quy, D. N.
13
2012
Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives. Zbl 1271.90082
Khanh, P. Q.; Tung, L. T.
3
2012
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization. Zbl 1251.90386
Le Hoang Anh, Nguyen; Khanh, Phan Quoc; Tung, Le Thanh
31
2011
On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings. Zbl 1216.49018
Khanh, P. Q.; Quy, D. N.
25
2011
Generic stability and essential components of generalized KKM points and applications. Zbl 1229.58016
Khanh, P. Q.; Quan, N. H.
22
2011
Variational sets: calculus and applications to nonsmooth vector optimization. Zbl 1211.49024
Hoang Anh, Nguyen Le; Khanh, Phan Quoc; Tung, Le Thanh
11
2011
Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization. Zbl 1231.49022
Lam Quoc Anh; Phan Quoc Khanh; Dang Thi My Van
9
2011
Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization. Zbl 1244.90221
Khanh, P. Q.; Long, V. S. T.; Quan, N. H.
9
2011
Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials. Zbl 1237.90252
Khanh, Phan Quoc; Quyen, Ho Thuc; Yao, Jen-Chih
6
2011
Corrigendum to “Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints”. Zbl 1236.49034
Khanh, P. Q.; Tuan, N. D.
4
2011
Optimality conditions without continuity in multivalued optimization using approximations as generalized derivatives. Zbl 1247.90290
Khanh, Phan Quoc; Tuan, Nguyen Dinh
3
2011
Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints. Zbl 1242.90213
Khanh, P. Q.; Tuan, N. D.
2
2011
Continuity of solution maps of parametric quasiequilibrium problems. Zbl 1187.90284
Anh, Lam Quoc; Khanh, Phan Quoc
64
2010
Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces. Zbl 1185.49007
Khanh, Phan Quoc; Quan, Nguyen Hong
21
2010
A generalized distance and enhanced Ekeland’s variational principle for vector functions. Zbl 1194.58014
Khanh, Phan Quoc; Quy, Dinh Ngoc
19
2010
General existence theorems, alternative theorems and applications to minimax problems. Zbl 1192.49015
Khanh, Phan Quoc; Quan, Nguyen Hong
14
2010
Existence results for general inclusions using generalized KKM theorems with applications to minimax problems. Zbl 1202.49009
Khanh, P. Q.; Quan, N. H.
9
2010
On the existence of solutions to quasivariational inclusion problems. Zbl 1190.49009
Hai, Nguyen Xuan; Khanh, Phan Quoc; Quan, Nguyen Hong
36
2009
Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces. Zbl 1176.90584
Anh, L. Q.; Khanh, P. Q.
29
2009
Well-posedness for vector quasiequilibria. Zbl 1176.49030
Anh, Lam Quoc; Khanh, Phan Quoc; Van, Dang Thi My; Yao, Jen-Chih
29
2009
Generalized KKM-type theorems in GFC-spaces and applications. Zbl 1176.47041
Khanh, Phan Quoc; Quan, Nguyen Hong; Yao, Jen-Chih
23
2009
Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization. Zbl 1189.90138
Khanh, P. Q.; Tuan, N. D.
22
2009
Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications. Zbl 1188.49006
Hai, Nguyen Xuan; Khanh, Phan Quoc; Quan, Nguyen Hong
11
2009
Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints. Zbl 1168.49017
Khanh, P. Q.; Tuan, N. D.
7
2009
Sensitivity analysis for weak and strong vector quasiequilibrium problems. Zbl 1202.90247
Lam Quoc Anh; Phan Quoc Khanh
4
2009
Existence conditions for quasivariational inclusion problems in \(G\)-convex spaces. Zbl 1180.90315
Khanh, Phan Quoc; Quan, Nguyen Hong
2
2009
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
57
2008
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. II. Lower semicontinuities applications. Zbl 1156.90443
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems. Zbl 1211.90243
Anh, Lam Quoc; Khanh, Phan Quoc
42
2008
Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions. Zbl 1188.90274
Anh, Lam Quoc; Khanh, Phan Quoc
39
2008
Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems. Zbl 1165.90026
Anh, Lam Quoc; Khanh, Phan Quoc
32
2008
Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. I: Upper semicontinuities. Zbl 1192.90208
Anh, Lam Quoc; Khanh, Phan Quoc
31
2008
Variational sets of multivalued mappings and a unified study of optimality conditions. Zbl 1170.49023
Khanh, P. Q.; Tuan, N. D.
21
2008
First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization. Zbl 1162.49026
Khanh, Phan Quoc; Tuan, Nguyen Dinh
14
2008
On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Zbl 1146.90516
Lam Quoc Anh; Phan Quoc Khanh
73
2007
Existence of solutions to general quasiequilibrium problems and applications. Zbl 1146.49004
Nguyen Xuan Hai; Phan Quoc Khanh
50
2007
Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces. Zbl 1156.90025
Anh, Lam Quoc; Khanh, Phan Quoc
49
2007
The solution existence of general variational inclusion problems. Zbl 1108.49020
Hai, N. X.; Khanh, P. Q.
48
2007
Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities. Zbl 1146.49006
Khanh, P. Q.; Luu, L. M.
46
2007
Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives. Zbl 1149.90134
Khanh, P. Q.; Tuan, N. D.
37
2007
Systems of set-valued quasivariational inclusion problems. Zbl 1126.49022
Nguyen Xuan Hai; Phan Quoc Khanh
20
2007
Existence conditions in symmetric multivalued vector quasiequilibrium problems. Zbl 1166.49017
Anh, Lam Quoc; Khanh, Phan Quoc
10
2007
The existence of \(\varepsilon\)-solutions to general quasiequilibrium problems. Zbl 1217.49013
Nguyen Xuan Hai; Phan Quoc Khanh
7
2007
On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. Zbl 1104.90041
Anh, L. Q.; Khanh, P. Q.
64
2006
First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces. Zbl 1143.90386
Khanh, P. Q.; Tuan, N. D.
18
2006
Systems of multivalued quasiequilibrium problems. Zbl 1181.49009
Nguyen Xuan Hai; Phan Quoc Khanh
8
2006
Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010
Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan
7
2006
Some algorithms for solving mixed variational inequalities. Zbl 1101.65068
Truong Quang Bao; Phan Quoc Khanh
4
2006
Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. Zbl 1097.49013
Khanh, Phan Quoc; Luu, Le Minh
31
2005
Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems. Zbl 1097.49012
Khanh, Phan Quoc; Luu, Le Minh
28
2005
A projection-type algorithm for pseudomonotone nonlipschitzian multivalued variational inequalities. Zbl 1066.65068
Bao, T. Q.; Khanh, P. Q.
21
2005
Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. Zbl 1048.49004
Anh, L. Q.; Khanh, P. Q.
116
2004
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Cited by 554 Authors

97 Phan Quôc Khánh
46 Anh, Lam Quoc
32 Li, Shengjie
25 Huang, Nan-Jing
21 Anh, Nguyen Le Hoang
17 Chen, Chunrong
17 Lin, Lai-Jiu
15 Hung, Nguyen Van
15 Wangkeeree, Rabian
14 Tam, Tran Ngoc
13 Balaj, Mircea
13 Han, Yu
13 Peng, Zaiyun
13 Pham Huu Sach
13 Quan, Nguyen Hong
13 Soubeyran, Antoine
13 Tung, Nguyen Minh
12 Novo-Sanjurjo, Vicente
12 Tung, Le Thanh
11 Dinh The Luc
11 Li, Xiaobing
10 Duy, Tran Quoc
10 Qiu, Jinghui
9 Cho, Yeol Je
9 Tuan, Nguyen Dinh
9 Võ Sĩ Trọng Long
9 Wang, Qilin
9 Yang, Zhe
8 Lin, Zhi
7 Bantaojai, Thanatporn
7 Fang, Zhimiao
7 Le Anh Tuan
7 Park, Sehie
7 Su, Tran Van
7 Teo, Kok Lay
7 Yang, Xinmin
7 Yao, Jen-Chih
6 Ansari, Qamrul Hasan
6 Duoc, Pham Thanh
6 Fang, Changjie
6 Gutiérrez, César
6 Jiménez, Bienvenido
6 Kruger, Alexander Y.
6 Pastor, Karel
6 Tammer, Christiane
6 Thao, Nguyen Hieu
6 Yu, Guolin
5 Chen, Jiawei
5 Cotrina, John
5 Diem, Huynh Thi Hong
5 Nguyen Le Hoang Anh
5 O’Regan, Donal
5 Peng, Zhenhua
5 Preechasilp, Pakkapon
5 Quy, Dinh Ngoc
5 Turinici, Mihai
5 Wan, Zhongping
5 Wang, Sanhua
5 Xu, Yangdong
5 Xu, Yihong
5 Zafarani, Jafar
5 Zhang, Chuangliang
5 Zhong, Ren-you
4 Agarwal, Ravi P.
4 Aussel, Didier
4 Bao, Nguyen Xuan Duy
4 Das, Koushik koushikdas. maths gmail. com
4 Ding, Xie Ping
4 Dong, Qiaoli
4 Fakhar, Majid
4 Hai, Le Phuoc
4 Hayek, Naïla
4 Iusem, Alfredo Noel
4 Lam Quoc Anh
4 Long, Xianjun
4 Plubtieng, Somyot
4 Pu, Yongjian
4 Tam, Vo Minh
4 Truong Quang Bao
4 Wang, Yuehu
4 Wei, Hongzhi
4 Zuo, Xin
3 Bednařík, Dušan
3 Bello Cruz, Jose Yunier
3 Chen, Shenglan
3 Chen, Yuqing
3 Cheng, Cao-Zong
3 Dvorská, Marie
3 Farajzadeh, Ali P.
3 Ginchev, Ivan G.
3 Gong, Xunhua
3 Guerraggio, Angelo
3 Hai, Nguyen Xuan
3 Han, Wenyan
3 Hang, Dinh Dieu
3 Huang, Yu-Jen
3 Inoan, Daniela Ioana
3 Kim, Jong Kyu
3 Kim, Won Kyu
3 Kum, Sangho
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Cited in 109 Serials

84 Journal of Optimization Theory and Applications
61 Optimization
48 Journal of Global Optimization
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Positivity
28 Journal of Inequalities and Applications
23 Optimization Letters
20 Journal of Mathematical Analysis and Applications
20 Numerical Functional Analysis and Optimization
16 Abstract and Applied Analysis
15 Fixed Point Theory and Applications
15 Journal of Industrial and Management Optimization
13 Computational and Applied Mathematics
10 Top
9 Computers & Mathematics with Applications
9 Set-Valued and Variational Analysis
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Journal of Fixed Point Theory and Applications
7 Journal of Nonlinear and Variational Analysis
6 Bulletin of the Iranian Mathematical Society
6 Vietnam Journal of Mathematics
6 Journal of Applied Mathematics
6 Journal of Nonlinear Science and Applications
5 Applicable Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 Asia-Pacific Journal of Operational Research
5 SIAM Journal on Optimization
5 Thai Journal of Mathematics
5 Journal of Function Spaces
4 Acta Mathematica Vietnamica
4 Applied Mathematics and Computation
4 Applied Mathematics Letters
4 Mathematical Programming. Series A. Series B
4 Set-Valued Analysis
4 Numerical Algebra, Control and Optimization
4 Journal of the Operations Research Society of China
3 Bulletin of the Australian Mathematical Society
3 Fuzzy Sets and Systems
3 Journal of Computational and Applied Mathematics
3 Operations Research Letters
3 Applied Mathematics and Mechanics. (English Edition)
3 Annals of Operations Research
3 European Journal of Operational Research
3 Taiwanese Journal of Mathematics
3 Mathematical Methods of Operations Research
3 Acta Mathematica Sinica. English Series
3 Journal of Systems Science and Complexity
2 Applied Mathematics and Optimization
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2 Topology and its Applications
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2 Turkish Journal of Mathematics
2 Filomat
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2 Bulletin of the Brazilian Mathematical Society. New Series
2 S\(\vec{\text{e}}\)MA Journal
2 Open Mathematics
1 Journal of Geometry and Physics
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Journal of Soviet Mathematics
1 Jnanabha
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Naval Research Logistics
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
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1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Computer Mathematics
1 Indagationes Mathematicae. New Series
1 Applied Mathematics. Series B (English Edition)
1 Georgian Mathematical Journal
1 Journal of Convex Analysis
1 Complexity
1 Journal of Applied Analysis
1 Journal of Dynamical and Control Systems
1 Optimization and Engineering
1 RAIRO. Operations Research
1 Trudy Instituta Matematiki
1 Journal of Nonlinear and Convex Analysis
1 The ANZIAM Journal
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1 Nonlinear Functional Analysis and Applications
1 Decisions in Economics and Finance
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Journal of Machine Learning Research (JMLR)
1 Journal of Applied Mathematics and Computing
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1 Science China. Mathematics
1 Advances in Decision Sciences
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