Home Page of IU> Math> People> Staff Members> Mai Duc Thanh
Head of Dept: Prof. Dr.Sc. Phan Quoc Khanh

Office Tel: 84.8.22113516
Office Fax: 84.8.37244241
E-mail:
pqkhanh@hcmiu.edu.vn
pqkhanhus@gmail.com
pqkhanh@math.ucdavis.edu

Education

  • BS: Hanoi University, 1968
  • PhD: Institute of Mathematics, Polish Academy of Sciences, 1978
  • DSc: the same institute: 1988
  • Associate Professor: 1984
  • Full Professor: 1992

Employment

  • 1968-1974: Assistant and Faculty Member at Vietnam Military Academy of Technology
  • 1975-1978: PhD. Student, Institute of Mathematics, Polish Academy of Sciences, Warsaw
  • 1978-1984: Faculty Member at Vietnam Military Academy of Technology and Researcher at Institute of Mathematics of Hanoi
  • 1984-1987: Postdoctoral fellow, Institute of Mathematics, Polish Academy of Sciences, Warsaw
  • 1988-1993: Professor at Vietnam Military Academy of Technology and at Institute of Mathematics of Hanoi
  • Director of Center for Control and Optimization, Vietnam Military Academy of  Technology: 1990-1993
  • Chair of Department of Mathematics and Computing Science, University of Hochiminh City: 1993-1998
  • Head of Section of Optimization and System Theory, University of Science of Hochiminh City: 2000-present
  • Dean of Faculty of Scientific Fundamentals, Vietnam Posts and Telecommunications Institute of Technology: 1999-2003
  • Rector of International University of Hochiminh City: 2003-2007
  • Chair of Department of Mathematics, International University of Hochiminh City: 2005-present

Members

Member:

  • Vietnamese Mathematical Society (Vice President),
  • American Mathematical Society,
  • South-East Asian Mathematical Society,
  • International Working Group on Generalized Convexity/Monotonicity;
  • Pacific Optimization Research Activity Group

Associate Editor:

  • Acta Mathematica Vietnamica
  • Vietnam Journal of Mathematics
  • Thai Journal of  Mathematics
  • Vietnam Journal of Mathematical Applications

Referee/Reviewer for international journals:

  • Mathematical Programming,
  • SIAM J. Control Optimization,
  • SIAM J. Optimization,
  • J. Optimization Theory and Applications,
  • J. Global Optimization,
  • J. Mathematical Analysis and Applications,
  • Nonlinear Analysis,
  • Optimization,
  • Control and Cybernetics,
  • Journal of Convex Analysis,
  • Serdica Mathematical Journal,
  • Set-Valued Analysis,
  • European Journal of Operational Research,
  • Applied Mathematics Letters,
  • Optimization Letters,
  • Far East J. of Mathematical Sciences,
  • Acta Mathematica Scientia,
  • Computers and Mathematics with Applications,
  • Applied Mathematics and Computation,
  • Positivity,
  • Mathematical Computer Modeling,
  • TOP,
  • Journal of Applied Mathematics and Decision Sciences,
  • Advances in Decision Sciences, etc, and many Proceedings of International Conferences
  • Reviewer for Mathematical Reviews
  • Scientific committee member of many international conferences (Co-Chairman of Scientific Committee of the 4th Vietnam-Korea Workshop on Optimization and Computing Science 2004, from the 2nd to the 7th International School and Workshop on Optimization and Applied Mathematics, 2002-2008, etc).
  • Invited speaker (including keynote speaker) of a number of  international    conferences

Research Interest

  • Optimization,
  • Mathematical Programming,
  • Variational Analysis,
  • Stochastic Optimization,
  • Operations Research,
  • Optimal Control

Publications

  1. Phan Quoc Khanh, A concept of optimality of degree p in observation theory and optimal observability for convex functionals, Control and Cybernetics, Vol. 8, 43–53, 1979.
  2. Phan Quoc Khanh, On measurements in observations and optimal observations for linear lumped parameter systems, Control and Cybernetics, Vol. 8 , 147–160, 1979.
  3. Phan Quoc Khanh, On the number of measurements in observations and optimal observations for linear lumped parameter systems, Methods of Mathematical Programming, Eds. S. Walukiewicz and A. Wierzbicki, Polish Scientific Publishers, Warszawa, 241–246, 1981.
  4. Phan Quoc Khanh, A formula for extremum involving F - convexity, Control and Cybernetics, Vol. 13, no 4, 305–311, 1984.
  5. Phan Quoc Khanh, On Pontryagin maximum principle for linear systems with constraints, Optimization, Vol. 16, 63–69, 1985.
  6. Phan Quoc Khanh, Nguyen Thien Luan, Holder subgradients and applications in optimization, Control and Cybernetics, Vol. 14, 323–341,1985.
  7. Phan Quoc Khanh, An induction theorem and general open mapping theorems, J. Mathematical Analysis and Applications, Vol. 118, 519–534, 1986.
  8. Phan Quoc Khanh, Nguyen Thien Luan, Holder open mapping theorems and necessary optimality conditions for problems with Holder data, Control and Cybernetics, Vol. 16, no 3 - 4, 59–72, 1987.
  9. Phan Quoc Khanh, An open mapping theorem for families of multifunctions, J. Mathematical Analysis and Applications, Vol. 132, 491–498, 1988.
  10. Phan Quoc Khanh, Tran Hue Nuong, On necessary optimality conditions in vector optimization problems, J. Optimization Theory and Applications, Vol. 58, 63–81, 1988.
  11. Phan Quoc Khanh, On general open mapping theorems, J. Mathematical Analysis and Applications, Vol. 144, 305–312, 1989.
  12. Phan Quoc Khanh, Tran Hue Nuong,  On necessary and sufficient conditions in vector optimization problems, J. Optimization Theory and Applications, Vol. 63, 398–413, 1989.
  13. Phan Quoc Khanh, On Caristi-Kirk’s theorem and Ekeland’s variational principle for Pareto extrema, Bulletin of Polish Academy of Sciences, Vol. 37, 33–39, 1989.
  14. Phan Quoc Khanh, Optimalizacja wielokryterialna, Matematyka Stosowana, Vol. 32, 31–47, 1989.
  15. Phan Quoc Khanh, Proper solutions of vector optimization problems, J. Optimization Theory and Applications, Vol. 74, 105-30, 1992.
  16. Phan Quoc Khanh, Dinh The Luc, Problems of vector optimization, Acta Mathematica Vietnamica, Vol.17, 91-112, 1992.
  17. Phan Quoc Khanh, Optimality conditions in vector optimization via norm scalarization, SIAM J. Control Optimization, Vol. 31, 646-658, 1993.
  18. Phan Quoc Khanh, Invex-convexlike functions and duality, J. Optimization Theory and Applications, Vol. 87, 141–165, 1995.
  19. Phan Quoc Khanh, Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions, J. Optimization Theory and Applications, Vol. 87, 359–378, 1995.
  20. Phan Quoc Khanh, Tran Hue Nuong, Remarks on projection, orthogonality and Kuhn-Tucker complementarity conditions in normed spaces, Vietnam J. Mathematics, Vol. 24, 201–208, 1996.
  21. Phan Quoc Khanh, Tran Hue Nuong, Michel Thera, On duality in nonconvex vector optimization in Banach spaces using augmented Lagrangians, Positivity, Vol. 3, 49-64, 1999.
  22. Phan Quoc Khanh, Le Minh Luu, Van Hien Nguyen, Invex–convexlike multifunctions, sufficient optimality conditions  and duality, Nonlinear Functional Analysis and Applications, Vol. 4, 87-96, 1999.
  23. Phan Quoc Khanh, Le Minh Luu, On necessary optimality conditions in multifunction optimization with parameters, Acta mathematica Vietnamica, Vol. 25, 125-36, 2000.
  24. Phan Quoc Khanh, Le Minh Luu, Necessary optimality conditions in problems involving set-valued maps with parameters, Acta Mathematica Vietnamica, Vol. 26, 279-295, 2001.
  25. Phan Quoc Khanh, Le Minh Luu, Multifunction optimization problems involving parameters: necessary optimality conditions, Optimization, Vol. 51, 577-595, 2002.
  26. Truong Quang Bao, Phan Quoc Khanh, Are several recent generalization of Ekeland’s  variational principle more general than the original principle? Acta Mathematica Vietnamica, Vol. 28, 345-350, 2003.
  27. Lam Quoc Anh, Phan Quoc Khanh, Semicontinuity of the solution sets to parametric quasi-equilibrium problems, J. Mathematical Analysis and Applications, Vol. 294, 699-711, 2004.
  28. Phan Quoc Khanh, Le Minh Luu, On the existence of solutions to vector quasivariational inequalities and quasi-complementarity problems, J. Optimization Theory and Applications, Vol. 123, 533-548, 2004.
  29. Phan Quoc Khanh, Le Minh Luu, Upper semicontinuity of the solution set to parametric vector quasivariational inequalities, J. Global Optimization, Vol. 32, 569-580, 2005.
  30. Phan Quoc Khanh, Le Minh Luu, Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems,  J. Global Optimization, Vol. 32, 551-568, 2005.
  31. Truong Quang Bao, Phan Quoc Khanh. A projection-type algorithm for  pseudomonotone nonlipschitzian multivalued variational inequalities, in Nonconvex Optimization and Applications, eds. A. Eberhard, N. Hadjisavvas and D.T. Luc, Springer, Vol. 77, New York, 113-129, 2005.            
  32. Phan Quoc Khanh, Nguyen Dinh Tuan, First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces, J. Optimization Theory and Applications, Vol.130, 289-308, 2006.
  33. Truong Quang Bao, Phan Quoc Khanh, Some algorithms for solving mixed variational inequalities, Acta Mathematica Vietnamica, Vol. 31, 83-103, 2006.
  34. Lam Quoc Anh, Phan Quoc Khanh, On the Holder continuity of solutions to parametric multivalued vector equilibrium problems, J. Mathematical Analysis and Applications, Vol. 321, 308-315, 2006.
  35. Phan Quoc Khanh, Dinh The Luc, Nguyen Dinh Tuan, Local uniqueness of solutions   for equilibrium problems, Advances in Nonlininear Variational Inequalities, Vol. 9, 13-27, 2006.
  36. Nguyen Xuan Hai, Phan Quoc Khanh, Systems of multivalued quasiequilibrium problems, Advances in Nonlinear Variational Inequalities, Advances in Nonlinear Variational Inequalities, Vol. 9, 109-120, 2006.
  37. Nguyen Xuan Hai, Phan Quoc Khanh, Existence of solutions to general quasi-equilibrium problems and applications, J. Optimization Theory and Applications, Vol. 133, 317-327, 2007.
  38. Phan Quoc Khanh, Le Minh Luu, Lower semicontinuity and upper semicontinuity of the solution sets to parametric multivalued quasivariational inequalities, J. Optimization Theory and Applications, Vol. 133, 329-339, 2007.
  39. Phan Quoc Khanh, Nguyen Dinh Tuan, Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives, J. Optimization Theory and Applications, Vol. 133, 341-357, 2007.
  40. Lam Quoc Anh, Phan Quoc Khanh, On the stability of the solution sets of general multivalued vector quasiequilibrium problems, J. Optimization Theory and Applications, Vol. 135, 271-284, 2007.
  41. Lam Quoc Anh, Phan Quoc Khanh, Uniqueness and Holder continuity of the solution to multivalued equilibrium problems in metric spaces, J. Global Optimization, Vol. 37, no. 3, 449-465, 2007.
  42. Nguyen Xuan Hai, Phan Quoc Khanh, Systems of set-valued quasivariational inclusion problems, J. Optimization Theory and Applications, Vol. 135, 55-67, 2007.
  43. Nguyen Xuan Hai, Phan Quoc Khanh, The solution existence of general variational  inclusion problems, J. Mathematical Analysis and Applications, Vol. 328, 1268-1277, 2007. 
  44. Lam Quoc Anh, Phan Quoc Khanh, Existence conditions in symmetric multivalued vector quasiequilibrium problems, Control Cybernetics, Vol. 36, no. 3, 519-530, 2007.
  45. Nguyen Xuan Hai, Phan Quoc Khanh, The existence of approximate solutions to general quasiequilibrium problems, Vietnam Journal of Mathematics, Vol. 35, no. 4, 563-572, 2007.
  46. Phan Quoc Khanh, Nguyen Dinh Tuan, First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization, Applied Mathematics and Optimization, Vol. 58, 147-166, 2008.
  47. Lam Quoc Anh, Phan Quoc Khanh, Various kinds of semicontinuity of the solution sets to symmetric multivalued vector quasiequilibrium problems, J. Global Optimization, Vol. 41, no. 4, 539-558, 2008.
  48. Phan Quoc Khanh, Nguyen Dinh Tuan, Higher-order variational sets and higher-order optimality conditions for proper efficiency in multivalued vector optimization, J. Optimization Theory and Applications, Vol. 139, no. 2, 243-261, 2008.
  49. Phan Quoc Khanh, Nguyen Dinh Tuan, Variational sets for multivalued mappings and a unified study of optimality conditions, J. Optimization Theory and Applications, Vol. 139, no. 1, 47-65, 2008.
  50. Lam Quoc Anh, Phan Quoc Khanh, Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Holder continuity of solutions, J. Global Optim., Vol. 42, no. 4, 515-531, 2008.
  51. Lam Quoc Anh, Phan Quoc Khanh, Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks, I: Upper semicontinuities, Set-Valued Analysis, Vol. 16, no. 2-3, 267-279, 2008.
  52. Lam Quoc Anh, Phan Quoc Khanh, Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems, Numerical Functional Analysis and Optimization, Vol. 29, no. 1-2, 24-42, 2008.
  53. Lam Quoc Anh, Phan Quoc Khanh, Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks, II: Lower semicontinuities. Applications, Set-Valued Analysis, Vol. 16, no. 7-8, 943-960, 2008.
  54. Phan Quoc Khanh, Dinh The Luc, Stability of solutions in parametric     variational relation problems, Set-Valued Analysis, Vol. 16, no. 7-8, 1015-1035, 2008.
  55. Phan Quoc Khanh, Nguyen Dinh Tuan, Optimality conditions using approximations for nonsmooth vector optimization problems under general inequality constraints, J. Convex Analysis, Vol. 16, no. 1, 169-186, 2009.
  56. Phan Quoc Khanh, Nguyen Hong Quan, Jen-Chih Yao, Generalized KKM-type theorems in GFC-spaces and applications, Nonlinear Analysis, TMA, Vol. 71, 1227-1234, 2009.
  57. Lam Quoc Anh, Phan Quoc Khanh, Holder continuity of the unique solution to quasiequilibrium problems in metric spaces, J. Optimization Theory and Applications, Vol. 141, 37-54, 2009.
  58. Phan Quoc Khanh, Nguyen Hong Quan, Existence conditions for quasivariational inclusion problems in G-convex spaces, Acta Mathematica Vietnamica, Vol. 34, no. 1, 1-10, 2009.
  59. Nguyen Xuan Hai, Phan Quoc Khanh, Nguyen Hong Quan, On the existence of solutions to quasivariational inclusion problems, J. Global Optimization, Vol. 45, 565-581, 2009.
  60. Lam Quoc Anh, Phan Quoc Khanh, Sensitivity analysis for weak and strong vector quasiequilibrium problems, Vietnam J. Mathematics, Vol. 37, no. 2-3, 237-253, 2009.
  61. Lam Quoc Anh, Phan Quoc Khanh, Dang Thi My Van, Jen-Chih Yao, Well-posedness for  vector quasiequilibria, Taiwanese J. Mathematics,  Vol. 13, no. 2B, 713-737, 2009.
  62. Nguyen Xuan Hai, Phan Quoc Khanh, Nguyen Hong Quan, Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications, Nonlinear Analysis,, Vol. 71, 6170-6181, 2009.
  63. Lam Quoc Anh, Phan Quoc Khanh, Continuity of solution maps to quasiequilibrium problems, J. Global Optimization, Vol. 46, 247-259, 2010.
  64. Phan Quoc Khanh, Nguyen Hong Quan, Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces, Optimization, Vol. 59, 115-124, 2010.
  65. Phan Quoc Khanh, Nguyen Hong Quan, General existence theorems, alternative theorems and applications to minimax problems, Nonlinear Analysis, TMA, Vol. 72, 2706-2715, 2010.
  66. Phan Quoc Khanh, Dinh Ngoc Quy, A generalized distance and Ekeland’s variational principle for vector functions, Nonlinear Analysis, Vol. 73, 2245-2259, 2010.
  67. Phan Quoc Khanh, Nguyen Hong Quan, The solution existence of general inclusions using generalized KKM theorems with applications to minimax problems, J. Optimization Theory Applications, Vol. 146, 640-653, 2010.
  68. Phan Quoc Khanh, Dinh Ngoc Quy, On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings, J. Global Optimization, Vol. 49, 381-396, 2011.
  69. Phan Quoc Khanh, Nguyen Dinh Tuan, Optimality conditions without continuity in multivalued optimization using approximations as generalized derivatives, Recent Contributions in Nonconvex Optimization, ed. S.K. Mishra, Springer, 47-61, 2011.
  70. Phan Quoc Khanh, Ho Thuc Quyen, Jen-Chih Yao, Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials, European J. Oper. Research, Vol. 212, 235-241, 2011.
  71. Phan Quoc Khanh, Nguyen Hong Quan, Generic stability and essential components of generalized KKM points and applications, J. Optimization Theory Applications, Vol. 148, 488-504, 2011.
  72. Nguyen Le Hoang Anh, Phan Quoc Khanh, Le Thanh Tung, Variational sets: Calculus and applications to optimality conditions in nonsmooth vector optimization, Nonlinear Anal. TMA, Vol. 74, 2358-2379, 2011.
  73. Phan Quoc Khanh, Nguyen Dinh Tuan, Second order optimality    conditions using approximations for nonsmooth vector optimization problems under inclusion constraints, Nonlinear Analysis, TMA, Vol. 74, 4338-4351, 2011.
  74. Phan Quoc Khanh, Nguyen Dinh Tuan, Corrigendum to "Optimality Conditions Using Approximations for Nonsmooth Vector Optimization Problems under General Inequality Constraints", J. Convex Analysis, Vol. 18, 897-901, 2011.
  75. Lam Quoc Anh, Phan Quoc Khanh, Dang Thi My Van, Well-posedness  without semicontinuity for parametric quasiequilibria and quasioptimization, Computers and Mathematics with Applications, Vol. 62, no. 4, 2045-2057, 2011.
  76. Phan Quoc Khanh, Vo Si Trong Long, Nguyen Hong Quan, Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkierwicz mappings in optimization, J. Optimization Theory Applications, Vol. 151, 552-572, 2011.
  77. Nguyen Le Hoang Anh, Phan Quoc Khanh, Le Thanh Tung, Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization, Nonlinear Analysis, TMA, Vol. 74, 7365-7379, 2011.
  78. Phan Quoc Khanh, Dinh Ngoc Quy, On Ekeland’s variational principle for Pareto minima of set-valued mappings, J. Optimization Theory Applications, Vol. 153, 280-297, 2012.
  79. Lam Quoc Anh, Phan Quoc Khanh, Tran Ngoc Tam, On Holder continuity of approximate solutions to parametric equilibrium problems, Nonlinear Analysis, TMA, Vol. 75, 2293-2303, 2012.
  80. Lam Quoc Anh, Phan Quoc Khanh, Dang Thi My Van, Well-posedness with relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints, J. Optimization Theory Applications, Vol. 153, 42-59, 2012.
  81. Phan Quoc Khanh, Le Thanh Tung, Local uniqueness of solutions to vector equilibrium problems using approximations, J. Optimization Theory Applications, Vol. 155, 840-854, 2012.
  82. Phan Quoc Khanh, Nguyen Dinh Tuan, Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions, Nonlinear Analysis, TMA, Vol. 77, 130-148, 2013.
  83. Phan Quoc Khanh, Le Minh Luu, Tran Trinh Minh Son, Well-posedness of a parametric traffic network problem, Nonlinear Analysis, Real World Applications, Vol, 14, 1643-1654, 2013.
  84. Phan Quoc Khanh, Le Thanh Tung, first and second-order optimality conditions using approximations for vector equilibrium problems with constraints, J. Global Optimization, Vol. 55, 901-920, 2013.
  85. Phan Quoc Khanh, Nguyen Dinh Tuan, Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming I: l-stability and set-valued directional derivatives,  J. Mathema-tical Analysis Applications, Vol. 403, 695–702, 2013.
  86. Phan Quoc Khanh, Nguyen Dinh Tuan, Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming II: optimality conditions, J. Mathematical Analysis Applications, Vol. 403, 703-714, 2013.
  87. Nguyen Le Hoang Anh, Phan Quoc Khanh, Optimality conditions in set-valued optimization using radial sets and radial derivatives, J. Global Optimization, onlinefirst, 2012, doi: 10.1007/s10898-012-9861-z.
  88. Phan Quoc Khanh, Dinh Ngoc Quy, Versions of Ekeland’s variational principle involving set perturbations, J. Global Optimization, onlinefirst, 2012, doi: 10.1007/s10898-012-9983-3.
  89. Nguyen Le Hoang Anh, Phan Quoc Khanh, Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization, J. Optimization Theory Applications, onlinefirst, 2013, doi: 10.1007/s10957-012-0257-5.
  90. Phan Quoc Khanh, Vo Si Trong Long, Invariant-point theorems and existence of solutions to optimization-related problems, J. Global Optimization, onlinefirst, 2013, doi: 10.1007/s10898-013-0065-y.
  91. Huynh Thi Hong Diem, Phan Quoc Khanh, Le Thanh Tung, On higher-order sensitivity analysis in nonsmooth vector optimization, J. Optimization Theory Applications, accepted, 2013.
  92. Nguyen Le Hoang Anh, Phan Quoc Khanh, Higher-order conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives, J. Global Optimization, accepted, 2013.

Here are recent submitted papers which also reflect my current research interest:

  1. Phan Quoc Khanh, Nguyen Minh Tung, First and second-order optimality conditions without differentiability in multivalued vector optimization, submitted for publication.
  2. Phan Quoc Khanh, Roger J-B Wets, Asymptotic behavior of solutions to stochastic optimization problems, submitted for publication.
  3. Alejandro Jofre’, Phan Quoc Khanh, Roger J-B Wets, About the variational limits of bifunctions, submitted for publication.
  4. Phan Quoc Khanh, Roger J-B Wets, Characterizations of epi/hypo- convergence of finite-valued bifunctions, submitted for publication.
  5. Lam Quoc Anh, Phan Quoc Khanh, Dinh Ngoc Quy, About semicontitunity of set-valued maps and stability of quasivariational inclusions, submitted for publication.
  6. Phan Quoc Khanh, Le Thanh Tung, first and second-order optimality conditions for multiobjective fractional programming, submitted for publication
  7. Phan Quoc Khanh, Nguyen Minh Tung, Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints, submitted for publication.
  8. Phan Quoc Khanh, Nguyen Hong Quan, A unified study of topological existence theorems and applications, submitted for publication.
  9. Nguyen Le Hoang Anh, Phan Quoc Khanh, Higher-order radial epideri-vatives and  optimality conditions in nonsmooth vector optimization, sub-mitted for publication.
  10. Phan Quoc Khanh, Nguyen Hong Quan, Topological characterizations of the existence of solutions to optimization-related problems, submitted for publication
  11. Huynh Thi Hong Diem, Phan Quoc Khanh, Optimality conditions for a class of relaxed quasiconvex minimax problems, sub-mitted for publication.
  12. Phan Quoc Khanh, Nguyen Hong Quan, A topological characterizations of the existence of fixed points and applications, submitted for publication.
  13. Lam Quoc Anh, Tran Quoc Duy, Phan Quoc Khanh, On stability of parametric lexicographic equilibrium problems, submitted for publication.
  14. Phan Quoc Khanh, Le Minh Luu, Tran Trinh Minh Son, On the stability and Levitin-Polyak well-posedness of parametric multi-objective generalized games, submitted for publication.
  15. Lam Quoc Anh, Phan Quoc Khanh, Tran Ngoc Tam, On Holder continuity of solution maps of parametric primal and dual equilibrium problems, submitted for publication.
  16. Lam Quoc Anh, Phan Quoc Khanh, Tran Ngoc Tam, Dang Thi My Van, On Holder calmness and Holder well-posedness of vector quasiequilibriump problems, submitted for publication.

Activities

English and Polish (fluent), French, German, Russian (fair)

Long  Scientific Stays:

  • Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, September-December,1989 and July-December, 2001.
  • National Institute of Applied Sciences, Rouen, France, July-August, 1997
  • University of Limoges, France, September, 1997
  • University of Namur, Belgium, October-December,1997; November, 1998-January,1999; October-December, 2001; and September-December, 2007
  • University of Montreal, Canada, September-October, 1998
  • Pukyong National University, Busan, Korea, December, 2002 and June, 2006
  • University of Pau, France, October-November, 2003
  • National Sun Yat-sen University, Kaohsiung, Taiwan, January, 2008-January 2009
  • Banaras Hindu University, Varanasi, India, March 2009
  • Indian Institute of Technology, Kanpur, India, April, 2009.
  • Universiti Sains Malaysia, Penang, Malaysia, June, 2009
  • University of Ballarat, Australia, August, 2009 and July-August 2012
  • University of California Davis, USA, October, 2009-September, 2010
  • Universidada de Federal do Rio de Janeiro, Rio de Janeiro, Brazil, August 2010
  • Facultas de Sciencias, Fisicas y Matematicas, Universidad de Chile, Santiago de Chile, April-May 2011
  • National Changhua University of Education, Taiwan, November-December 2011
  • Vietnam Institute for Advanced Study in Mathematics, February-June, 2012, and February-April 2013
  • Naresuan University and Chiang Mai University, Thailand, December, 2012
  • University of Bourgogne, Dijon, France, May-June, 2013
  • Harbin University, China, June-July, 2013

Thesis Advisor:

  • 16 PhD dissertations (10 defended in 1986, 1989, 1989, 2002, 2006, 2007, 2007, 2011, 2011, 2013)
  • 110 master theses defended
  Copyright 2006, Department of Mathematics - International University - HCMC