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Phan Quôc Khánh

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Author ID: phan-quoc-khanh. Recent zbMATH articles by "Phan Quôc Khánh"
Published as: Khanh, P. Q.; Khanh, Phan Q.; Khanh, Phan Quoc; Phan Quoc Khanh; Phan Quôc Khánh
External Links: MGP
Documents Indexed: 130 Publications since 1979, including 1 Book
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,592 times in 544 Documents Cited by Year
Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. Zbl 1048.49004
Anh, L. Q.; Khanh, P. Q.
104
2004
On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Zbl 1146.90516
Lam Quoc Anh; Phan Quoc Khanh
70
2007
Continuity of solution maps of parametric quasiequilibrium problems. Zbl 1187.90284
Anh, Lam Quoc; Khanh, Phan Quoc
56
2010
On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. Zbl 1104.90041
Anh, L. Q.; Khanh, P. Q.
56
2006
Stability of solutions in parametric variational relation problems. Zbl 1161.49023
Khanh, P. Q.; Luc, D. T.
55
2008
Existence of solutions to general quasiequilibrium problems and applications. Zbl 1146.49004
Nguyen Xuan Hai; Phan Quoc Khanh
46
2007
The solution existence of general variational inclusion problems. Zbl 1108.49020
Hai, N. X.; Khanh, P. Q.
46
2007
Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces. Zbl 1156.90025
Anh, Lam Quoc; Khanh, Phan Quoc
43
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
41
2008
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.
41
2007
Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems. Zbl 1211.90243
Anh, Lam Quoc; Khanh, Phan Quoc
39
2008
Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions. Zbl 1188.90274
Anh, Lam Quoc; Khanh, Phan Quoc
34
2008
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
34
2004
On the existence of solutions to quasivariational inclusion problems. Zbl 1190.49009
Hai, Nguyen Xuan; Khanh, Phan Quoc; Quan, Nguyen Hong
32
2009
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
Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives. Zbl 1149.90134
Khanh, P. Q.; Tuan, N. D.
30
2007
Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems. Zbl 1165.90026
Anh, Lam Quoc; Khanh, Phan Quoc
29
2008
Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. Zbl 1097.49013
Khanh, Phan Quoc; Luu, Le Minh
29
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
26
2005
Well-posedness for vector quasiequilibria. Zbl 1176.49030
Anh, Lam Quoc; Khanh, Phan Quoc; Van, Dang Thi My; Yao, Jen-Chih
25
2009
Proper solutions of vector optimization problems. Zbl 0795.90057
Khanh, P. Q.
25
1992
Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces. Zbl 1176.90584
Anh, L. Q.; Khanh, P. Q.
24
2009
Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization. Zbl 1251.90386
Le Hoang Anh, Nguyen; Khanh, Phan Quoc; Tung, Le Thanh
23
2011
On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings. Zbl 1216.49018
Khanh, P. Q.; Quy, D. N.
22
2011
Generalized KKM-type theorems in GFC-spaces and applications. Zbl 1176.47041
Khanh, Phan Quoc; Quan, Nguyen Hong; Yao, Jen-Chih
21
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
20
2013
On Hölder continuity of approximate solutions to parametric equilibrium problems. Zbl 1237.49032
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
20
2012
Generic stability and essential components of generalized KKM points and applications. Zbl 1229.58016
Khanh, P. Q.; Quan, N. H.
20
2011
Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces. Zbl 1185.49007
Khanh, Phan Quoc; Quan, Nguyen Hong
20
2010
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.
20
2009
Systems of set-valued quasivariational inclusion problems. Zbl 1126.49022
Nguyen Xuan Hai; Phan Quoc Khanh
20
2007
Variational sets of multivalued mappings and a unified study of optimality conditions. Zbl 1170.49023
Khanh, P. Q.; Tuan, N. D.
19
2008
A generalized distance and enhanced Ekeland’s variational principle for vector functions. Zbl 1194.58014
Khanh, Phan Quoc; Quy, Dinh Ngoc
18
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.
15
2006
On Caristi-Kirk’s theorem and Ekeland’s variational principle for Pareto extrema. Zbl 0767.47039
Phan Quoc Khanh
15
1989
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.
14
2012
A projection-type algorithm for pseudomonotone nonlipschitzian multivalued variational inequalities. Zbl 1066.65068
Bao, T. Q.; Khanh, P. Q.
14
2005
On necessary optimality conditions in vector optimization problems. Zbl 0621.90084
Khanh, P. Q.; Nuong, T. H.
13
1988
On higher-order sensitivity analysis in nonsmooth vector optimization. Zbl 1323.90061
Diem, H. T. H.; Khanh, P. Q.; Tung, L. T.
12
2014
Invariant-point theorems and existence of solutions to optimization-related problems. Zbl 1297.90127
Khanh, Phan Quoc; Long, Vo Si Trong
12
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
12
2013
Versions of Ekeland’s variational principle involving set perturbations. Zbl 1292.58012
Khanh, Phan Quoc; Quy, Dinh Ngoc
12
2013
On Ekeland’s variational principle for Pareto minima of set-valued mappings. Zbl 1247.90237
Khanh, P. Q.; Quy, D. N.
12
2012
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
12
2008
General existence theorems, alternative theorems and applications to minimax problems. Zbl 1192.49015
Khanh, Phan Quoc; Quan, Nguyen Hong
11
2010
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 via norm scalarization in vector optimization. Zbl 0780.90081
Phan Quoc Khanh
11
1993
An induction theorem and general open mapping theorems. Zbl 0644.46002
Phan Quoc Khanh
11
1986
An induction theorem and nonlinear regularity models. Zbl 1331.47073
Khanh, Phan Q.; Kruger, Alexander Y.; Thao, Nguyen H.
10
2015
Variational sets: calculus and applications to nonsmooth vector optimization. Zbl 1211.49024
Hoang Anh, Nguyen Le; Khanh, Phan Quoc; Tung, Le Thanh
10
2011
Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization. Zbl 1272.90076
Anh, N. L. H.; Khanh, P. Q.
9
2013
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
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
8
2014
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.
8
2011
Existence conditions in symmetric multivalued vector quasiequilibrium problems. Zbl 1166.49017
Anh, Lam Quoc; Khanh, Phan Quoc
8
2007
Systems of multivalued quasiequilibrium problems. Zbl 1181.49009
Nguyen Xuan Hai; Phan Quoc Khanh
8
2006
Are several recent generalizations of Ekeland’s variational principle more general than the original principle? Zbl 1083.49020
Truong Quang Bao; Phan Quoc Khanh
8
2003
Second-order optimality conditions with the envelope-like effect for set-valued optimization. Zbl 1327.90287
Khanh, P. Q.; Tung, N. M.
7
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.
7
2015
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
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
Local uniqueness of solutions for equilibrium problems. Zbl 1181.49010
Phan Quoc Khanh; Dinh The Luc; Nguyen Dinh Tuan
7
2006
Invex-convexlike functions and duality. Zbl 0843.90109
Khanh, P. Q.
7
1995
Variational principles with generalized distances and the modelization of organizational change. Zbl 1368.49006
Bao, Truong Q.; Khanh, Phan Q.; Soubeyran, Antoine
6
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
6
2016
Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints. Zbl 1337.90081
Khanh, Phan Quoc; Tung, Nguyen Minh
6
2015
Topologically-based characterizations of the existence of solutions of optimization-related problems. Zbl 1334.49012
Khanh, Phan Quoc; Quan, Nguyen Hong
6
2015
First and second-order optimality conditions using approximations for vector equilibrium problems with constraints. Zbl 1287.90078
Khanh, Phan Quoc; Tung, Le Thanh
6
2013
Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization. Zbl 1231.49022
Lam Quoc Anh; Phan Quoc Khanh; Dang Thi My Van
6
2011
The existence of \(\varepsilon\)-solutions to general quasiequilibrium problems. Zbl 1217.49013
Nguyen Xuan Hai; Phan Quoc Khanh
6
2007
On necessary and sufficient conditions in vector optimization. Zbl 0662.90076
Khanh, P. Q.; Nuong, T. H.
6
1989
An open mapping theorem for families of multifunctions. Zbl 0679.54015
Phan Quoc Khanh
6
1988
Calculus and applications of Studniarski’s derivatives to sensitivity and implicit function theorems. Zbl 1318.49028
Anh, Nguyen Le Hoang; Khanh, Phan Quoc
5
2014
A topological characterization of the existence of fixed points and applications. Zbl 1297.54088
Khanh, Phan Quoc; Quan, Nguyen Hong
5
2014
Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials. Zbl 1237.90252
Khanh, Phan Quoc; Quyen, Ho Thuc; Yao, Jen-Chih
5
2011
Sensitivity analysis for weak and strong vector quasiequilibrium problems. Zbl 1202.90247
Lam Quoc Anh; Phan Quoc Khanh
5
2009
Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints. Zbl 1168.49017
Khanh, P. Q.; Tuan, N. D.
5
2009
Existence results for \(\varphi\)-quasimonotone equilibrium problems in convex metric spaces. Zbl 1391.90588
Jafari, S.; Farajzadeh, A. P.; Moradi, S.; Khanh, P. Q.
4
2017
Continuity properties of solution maps of parametric lexicographic equilibrium problems. Zbl 1333.90129
Anh, L. Q.; Duy, T. Q.; Khanh, P. Q.
4
2016
Some algorithms for solving mixed variational inequalities. Zbl 1101.65068
Truong Quang Bao; Phan Quoc Khanh
4
2006
First and second-order optimality conditions without differentiability in multivalued vector optimization. Zbl 1332.90237
Khanh, Phan Quoc; Tung, Nguyen Minh
3
2015
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
Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives. Zbl 1271.90082
Khanh, P. Q.; Tung, L. T.
3
2012
Optimality conditions without continuity in multivalued optimization using approximations as generalized derivatives. Zbl 1247.90290
Khanh, Phan Quoc; Tuan, Nguyen Dinh
3
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.
3
2011
Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions. Zbl 0839.90102
Khanh, P. Q.
3
1995
Versions of the Weierstrass theorem for bifunctions and solution existence in optimization. Zbl 1421.90138
Khanh, Phan Quoc; Quan, Nguyen Hong
2
2019
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.
2
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.
2
2019
Fixed points, continuous selections, and existence of solution of optimization-related problems. Zbl 1390.90445
Khanh, Phan Quoc; Long, Vo Si Trong
2
2018
Approximations of optimization-related problems in terms of variational convergence. Zbl 1338.90400
Huynh Thi Hong Diem; Phan Quoc Khanh
2
2016
Criteria for epi/hypo convergence of finite-valued bifunctions. Zbl 1320.49008
Diem, Huynh Thi Hong; Khanh, Phan Quoc
2
2015
Well-posedness of a parametric traffic network problem. Zbl 1258.90022
Khanh, Phan Quoc; Luu, Le Minh; Son, Tran Trinh Minh
2
2013
Existence conditions for quasivariational inclusion problems in \(G\)-convex spaces. Zbl 1180.90315
Khanh, Phan Quoc; Quan, Nguyen Hong
2
2009
On duality in nonconvex vector optimization in Banach spaces using augmented Lagrangians. Zbl 0916.90243
Phan Quoc Khanh; Tran Hue Nuong; Théra, Michel
2
1999
Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems. Zbl 1450.90052
Diem, H. T. H.; Khanh, P. Q.
1
2020
Weak finite intersection characterizations of existence in optimization. Zbl 1391.49008
Phan Quoc Khanh; Vo Si Trong Long
1
2018
Higher-order Karush-Kuhn-Tucker conditions in nonsmooth optimization. Zbl 1437.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
1
2018
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
1
2017
Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems. Zbl 1450.90052
Diem, H. T. H.; Khanh, P. Q.
1
2020
Versions of the Weierstrass theorem for bifunctions and solution existence in optimization. Zbl 1421.90138
Khanh, Phan Quoc; Quan, Nguyen Hong
2
2019
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.
2
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.
2
2019
Fixed points, continuous selections, and existence of solution of optimization-related problems. Zbl 1390.90445
Khanh, Phan Quoc; Long, Vo Si Trong
2
2018
Weak finite intersection characterizations of existence in optimization. Zbl 1391.49008
Phan Quoc Khanh; Vo Si Trong Long
1
2018
Higher-order Karush-Kuhn-Tucker conditions in nonsmooth optimization. Zbl 1437.90145
Khanh, Phan Quoc; Tung, Nguyen Minh
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.
4
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
1
2017
Variational principles with generalized distances and the modelization of organizational change. Zbl 1368.49006
Bao, Truong Q.; Khanh, Phan Q.; Soubeyran, Antoine
6
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
6
2016
Continuity properties of solution maps of parametric lexicographic equilibrium problems. Zbl 1333.90129
Anh, L. Q.; Duy, T. Q.; Khanh, P. Q.
4
2016
Approximations of optimization-related problems in terms of variational convergence. Zbl 1338.90400
Huynh Thi Hong Diem; Phan Quoc Khanh
2
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
1
2016
An induction theorem and nonlinear regularity models. Zbl 1331.47073
Khanh, Phan Q.; Kruger, Alexander Y.; Thao, Nguyen H.
10
2015
Second-order optimality conditions with the envelope-like effect for set-valued optimization. Zbl 1327.90287
Khanh, P. Q.; Tung, N. M.
7
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.
7
2015
Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints. Zbl 1337.90081
Khanh, Phan Quoc; Tung, Nguyen Minh
6
2015
Topologically-based characterizations of the existence of solutions of optimization-related problems. Zbl 1334.49012
Khanh, Phan Quoc; Quan, Nguyen Hong
6
2015
First and second-order optimality conditions without differentiability in multivalued vector optimization. Zbl 1332.90237
Khanh, Phan Quoc; Tung, Nguyen Minh
3
2015
Criteria for epi/hypo convergence of finite-valued bifunctions. Zbl 1320.49008
Diem, Huynh Thi Hong; Khanh, Phan Quoc
2
2015
First- and second-order optimality conditions for multiobjective fractional programming. Zbl 1376.90058
Khanh, P. Q.; Tung, L. T.
1
2015
On higher-order sensitivity analysis in nonsmooth vector optimization. Zbl 1323.90061
Diem, H. T. H.; Khanh, P. Q.; Tung, L. T.
12
2014
Invariant-point theorems and existence of solutions to optimization-related problems. Zbl 1297.90127
Khanh, Phan Quoc; Long, Vo Si Trong
12
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
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
5
2014
A topological characterization of the existence of fixed points and applications. Zbl 1297.54088
Khanh, Phan Quoc; Quan, Nguyen Hong
5
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 07023083
Khanh, Phan Quoc; Plubtieng, Somyot; Sombut, Kamonrat
1
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
20
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
12
2013
Versions of Ekeland’s variational principle involving set perturbations. Zbl 1292.58012
Khanh, Phan Quoc; Quy, Dinh Ngoc
12
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.
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
First and second-order optimality conditions using approximations for vector equilibrium problems with constraints. Zbl 1287.90078
Khanh, Phan Quoc; Tung, Le Thanh
6
2013
Well-posedness of a parametric traffic network problem. Zbl 1258.90022
Khanh, Phan Quoc; Luu, Le Minh; Son, Tran Trinh Minh
2
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
1
2013
On Hölder continuity of approximate solutions to parametric equilibrium problems. Zbl 1237.49032
Anh, L. Q.; Khanh, P. Q.; Tam, T. N.
20
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.
14
2012
On Ekeland’s variational principle for Pareto minima of set-valued mappings. Zbl 1247.90237
Khanh, P. Q.; Quy, D. N.
12
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
23
2011
On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings. Zbl 1216.49018
Khanh, P. Q.; Quy, D. N.
22
2011
Generic stability and essential components of generalized KKM points and applications. Zbl 1229.58016
Khanh, P. Q.; Quan, N. H.
20
2011
Variational sets: calculus and applications to nonsmooth vector optimization. Zbl 1211.49024
Hoang Anh, Nguyen Le; Khanh, Phan Quoc; Tung, Le Thanh
10
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.
8
2011
Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization. Zbl 1231.49022
Lam Quoc Anh; Phan Quoc Khanh; Dang Thi My Van
6
2011
Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials. Zbl 1237.90252
Khanh, Phan Quoc; Quyen, Ho Thuc; Yao, Jen-Chih
5
2011
Optimality conditions without continuity in multivalued optimization using approximations as generalized derivatives. Zbl 1247.90290
Khanh, Phan Quoc; Tuan, Nguyen Dinh
3
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.
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.
1
2011
Continuity of solution maps of parametric quasiequilibrium problems. Zbl 1187.90284
Anh, Lam Quoc; Khanh, Phan Quoc
56
2010
Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces. Zbl 1185.49007
Khanh, Phan Quoc; Quan, Nguyen Hong
20
2010
A generalized distance and enhanced Ekeland’s variational principle for vector functions. Zbl 1194.58014
Khanh, Phan Quoc; Quy, Dinh Ngoc
18
2010
General existence theorems, alternative theorems and applications to minimax problems. Zbl 1192.49015
Khanh, Phan Quoc; Quan, Nguyen Hong
11
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
32
2009
Well-posedness for vector quasiequilibria. Zbl 1176.49030
Anh, Lam Quoc; Khanh, Phan Quoc; Van, Dang Thi My; Yao, Jen-Chih
25
2009
Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces. Zbl 1176.90584
Anh, L. Q.; Khanh, P. Q.
24
2009
Generalized KKM-type theorems in GFC-spaces and applications. Zbl 1176.47041
Khanh, Phan Quoc; Quan, Nguyen Hong; Yao, Jen-Chih
21
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.
20
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
Sensitivity analysis for weak and strong vector quasiequilibrium problems. Zbl 1202.90247
Lam Quoc Anh; Phan Quoc Khanh
5
2009
Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints. Zbl 1168.49017
Khanh, P. Q.; Tuan, N. D.
5
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.
55
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
41
2008
Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems. Zbl 1211.90243
Anh, Lam Quoc; Khanh, Phan Quoc
39
2008
Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions. Zbl 1188.90274
Anh, Lam Quoc; Khanh, Phan Quoc
34
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
Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems. Zbl 1165.90026
Anh, Lam Quoc; Khanh, Phan Quoc
29
2008
Variational sets of multivalued mappings and a unified study of optimality conditions. Zbl 1170.49023
Khanh, P. Q.; Tuan, N. D.
19
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
12
2008
On the stability of the solution sets of general multivalued vector quasiequilibrium problems. Zbl 1146.90516
Lam Quoc Anh; Phan Quoc Khanh
70
2007
Existence of solutions to general quasiequilibrium problems and applications. Zbl 1146.49004
Nguyen Xuan Hai; Phan Quoc Khanh
46
2007
The solution existence of general variational inclusion problems. Zbl 1108.49020
Hai, N. X.; Khanh, P. Q.
46
2007
Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces. Zbl 1156.90025
Anh, Lam Quoc; Khanh, Phan Quoc
43
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.
41
2007
Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives. Zbl 1149.90134
Khanh, P. Q.; Tuan, N. D.
30
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
8
2007
The existence of \(\varepsilon\)-solutions to general quasiequilibrium problems. Zbl 1217.49013
Nguyen Xuan Hai; Phan Quoc Khanh
6
2007
On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. Zbl 1104.90041
Anh, L. Q.; Khanh, P. Q.
56
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.
15
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
29
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
26
2005
A projection-type algorithm for pseudomonotone nonlipschitzian multivalued variational inequalities. Zbl 1066.65068
Bao, T. Q.; Khanh, P. Q.
14
2005
Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. Zbl 1048.49004
Anh, L. Q.; Khanh, P. Q.
104
2004
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
34
2004
Are several recent generalizations of Ekeland’s variational principle more general than the original principle? Zbl 1083.49020
Truong Quang Bao; Phan Quoc Khanh
8
2003
Multifunction optimization problems involving parameters: necessary optimality conditions. Zbl 1055.49016
Khanh, Phan Quoc; Luu, Le Minh
1
2002
Necessary optimality conditions in problems involving set-valued maps with parameters. Zbl 1087.90528
Phan Quoc Khanh; Le Minh Luu
1
2001
On duality in nonconvex vector optimization in Banach spaces using augmented Lagrangians. Zbl 0916.90243
Phan Quoc Khanh; Tran Hue Nuong; Théra, Michel
2
1999
Invex-convexlike functions and duality. Zbl 0843.90109
Khanh, P. Q.
7
1995
Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions. Zbl 0839.90102
Khanh, P. Q.
3
1995
...and 8 more Documents
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Cited by 496 Authors

88 Phan Quôc Khánh
37 Anh, Lam Quoc
21 Huang, Nan-Jing
19 Anh, Nguyen Le Hoang
17 Lin, Lai-Jiu
14 Wangkeeree, Rabian
13 Balaj, Mircea
13 Hung, Nguyen Van
13 Sach, Pham Huu
12 Quan, Nguyen Hong
11 Han, Yu
11 Tam, Tran Ngoc
10 Li, Shengjie
10 Peng, Zaiyun
10 Qiu, Jinghui
10 Tung, Le Thanh
10 Yang, Zhe
9 Chen, Chunrong
9 Dinh The Luc
9 Soubeyran, Antoine
9 Tuan, Le Anh
9 Tuan, Nguyen Dinh
8 Lin, Zhi
8 Novo-Sanjurjo, Vicente
7 Tung, Nguyen Minh
7 Yang, Xinmin
6 Bantaojai, Thanatporn
6 Li, Shengjie J.
6 Pastor, Karel
6 Teo, Kok Lay
6 Wan, Zhongping
6 Wang, Qilin
6 Yao, Jen-Chih
5 Ansari, Qamrul Hasan
5 Chen, Jiawei
5 Cho, Yeol Je
5 Duy, Tran Quoc
5 Fang, Changjie
5 Long, Vo Si Trong
5 O’Regan, Donal
5 Park, Sehie
5 Peng, Zhenhua
5 Preechasilp, Pakkapon
5 Quy, Dinh Ngoc
5 Tammer, Christiane
5 Thao, Nguyen Hieu
5 Truong Quang Bao
5 Zhong, Ren-you
4 Agarwal, Ravi P.
4 Aussel, Didier
4 Chen, Chaoran
4 Cotrina, John
4 Ding, Xie Ping
4 Duoc, Pham Thanh
4 Hayek, Naïla
4 Iusem, Alfredo Noel
4 Jiménez, Bienvenido
4 Li, Xiaobing
4 Plubtieng, Somyot
4 Pu, Yongjian
4 Su, Tran Van
4 Wang, Yuehu
4 Xu, Yangdong
4 Yu, Guolin
4 Zuo, Xin
3 Bednařík, Dušan
3 Bello Cruz, Jose Yunier
3 Chen, Yuqing
3 Cheng, Cao-Zong
3 Diem, Huynh Thi Hong
3 Dvorská, Marie
3 Farajzadeh, Ali P.
3 Ginchev, Ivan G.
3 Gong, Xunhua
3 Guerraggio, Angelo
3 Gutiérrez, César
3 Hai, Le Phuoc
3 Hai, Nguyen Xuan
3 He, Fei
3 Huang, Yu-Jen
3 Kim, Jong Kyu
3 Kim, Won Kyu
3 Kruger, Alexander Ya.
3 Kum, Sangho
3 Lee, Gue Myung
3 Li, Xiongbing
3 Long, Xianjun
3 Luu, Le Minh
3 Minh, Nguyen Ba
3 Nguyen Le Hoang Anh
3 Peng, Dingtao
3 Pini, Rita
3 Sama, Miguel
3 Song, Qi-Qing
3 Tam, Vo Minh
3 Turinici, Mihai
3 Wang, Sanhua
3 Wang, Xing
3 Wei, Hongzhi
3 Xu, Yihong
...and 396 more Authors
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Cited in 91 Serials

78 Journal of Optimization Theory and Applications
41 Optimization
41 Journal of Global Optimization
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Positivity
25 Journal of Inequalities and Applications
21 Journal of Mathematical Analysis and Applications
19 Numerical Functional Analysis and Optimization
17 Optimization Letters
16 Abstract and Applied Analysis
15 Fixed Point Theory and Applications
11 Journal of Industrial and Management Optimization
9 Computers & Mathematics with Applications
9 Top
8 Computational and Applied Mathematics
6 Vietnam Journal of Mathematics
6 Journal of Applied Mathematics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Journal of Fixed Point Theory and Applications
6 Journal of Nonlinear Science and Applications
6 Set-Valued and Variational Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 SIAM Journal on Optimization
4 Applicable Analysis
4 Acta Mathematica Vietnamica
4 Applied Mathematics and Computation
4 Applied Mathematics Letters
4 Set-Valued Analysis
3 Bulletin of the Australian Mathematical Society
3 Operations Research Letters
3 Applied Mathematics and Mechanics. (English Edition)
3 Asia-Pacific Journal of Operational Research
3 European Journal of Operational Research
3 Mathematical Programming. Series A. Series B
3 Taiwanese Journal of Mathematics
3 Mathematical Methods of Operations Research
3 Acta Mathematica Sinica. English Series
3 Journal of Systems Science and Complexity
3 Thai Journal of Mathematics
3 Journal of the Operations Research Society of China
3 Journal of Function Spaces
3 Journal of Nonlinear and Variational Analysis
2 Applied Mathematics and Optimization
2 Fuzzy Sets and Systems
2 Mathematische Nachrichten
2 Opsearch
2 Annals of Operations Research
2 Applications of Mathematics
2 Turkish Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Numerical Algebra, Control and Optimization
1 Journal of Geometry and Physics
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Journal of Computational and Applied Mathematics
1 Journal of Soviet Mathematics
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Results in Mathematics
1 Topology and its Applications
1 Optimal Control Applications & Methods
1 Zeitschrift für Analysis und ihre Anwendungen
1 Bulletin of the Iranian Mathematical Society
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 Indagationes Mathematicae. New Series
1 Computational Optimization and Applications
1 Applied Mathematics. Series B (English Edition)
1 Journal of Convex Analysis
1 Complexity
1 Journal of Applied Analysis
1 Optimization Methods & Software
1 Optimization and Engineering
1 RAIRO. Operations Research
1 Journal of Nonlinear and Convex Analysis
1 The ANZIAM Journal
1 Nonlinear Analysis. Modelling and Control
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Function Spaces and Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 Advances in Decision Sciences
1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
1 Afrika Matematika
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Nonlinear Analysis and Optimization: Theory & Applications
1 Mathematical Sciences
1 Open Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)

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