All Stories

  1. Second-Order Set-Valued Directional Derivatives of the Marginal Map in Parametric Vector Optimization Problems

    Article • Journal of Optimization Theory and Applications, January 2025, Springer Science + Business Media

    Professor Phan Quoc Khanh

  2. Global Approximations of Vector Optimization Problems in Terms of Variational Convergence

    Article • Journal of Optimization Theory and Applications, June 2024, Springer Science + Business Media

    Professor Phan Quoc Khanh

  3. A relaxed projection method for solving bilevel variational inequality problems

    Article • Optimization, May 2024, Taylor & Francis

    Professor Phan Quoc Khanh

  4. Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence

    Article • Set-Valued and Variational Analysis, December 2023, Springer Science + Business Media

    Professor Phan Quoc Khanh

  5. On optimality conditions and duality for multiobjective optimization with equilibrium constraints

    Article • Positivity, July 2023, Springer Science + Business Media

    Professor Phan Quoc Khanh

  6. General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics

    Article • Journal of Optimization Theory and Applications, September 2022, Springer Science + Business Media

    Professor Phan Quoc Khanh

  7. Conditions for solutions, their globality, and their duality relations in vector optimization with relaxed quasiconvexity

    Article • Positivity, May 2022, Springer Science + Business Media

    Professor Phan Quoc Khanh

  8. Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization

    Article • Journal of Global Optimization, May 2022, Springer Science + Business Media

    Professor Phan Quoc Khanh

  9. On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems

    Article • Set-Valued and Variational Analysis, August 2021, Springer Science + Business Media

    Professor Phan Quoc Khanh

  10. On Well-Posedness for Perturbed Quasi-Equilibrium and Quasi-Optimization Problems

    Article • Numerical Functional Analysis and Optimization, March 2021, Taylor & Francis

    Professor Phan Quoc Khanh

  11. Levitin–Polyak well-posedness for equilibrium problems with the lexicographic order

    Article • Positivity, February 2021, Springer Science + Business Media

    Professor Phan Quoc Khanh

  12. A unified study of existence theorems in topologically based settings and applications in optimization

    Article • Optimization, January 2021, Taylor & Francis

    Professor Phan Quoc Khanh

  13. Special Issue dedicated to the 65th birthday of Alexander Kruger

    Article • Optimization, September 2020, Taylor & Francis

    Professor Phan Quoc Khanh

  14. Empirical Examination of Factors Influencing the Adoption of Green Building Technologies: The Perspective of Construction Developers in Developing Economies

    Article • Sustainability, September 2020, MDPI AG

    Professor Phan Quoc Khanh

  15. Versions of the Subgradient Extragradient Method for Pseudomonotone Variational Inequalities

    Article • Acta Applicandae Mathematicae, May 2020, Springer Science + Business Media

    Professor Phan Quoc Khanh

  16. General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization

    Article • Optimization, March 2020, Taylor & Francis

    Professor Phan Quoc Khanh

  17. Epi/Hypo-Convergence of Bifunctions on General Domains and Approximations of Quasi-Variational Problems

    Article • Set-Valued and Variational Analysis, January 2020, Springer Science + Business Media

    Professor Phan Quoc Khanh

  18. On the Mangasarian–Fromovitz constraint qualification and Karush–Kuhn–Tucker conditions in nonsmooth semi-infinite multiobjective programming

    Article • Optimization Letters, January 2020, Springer Science + Business Media

    Professor Phan Quoc Khanh

  19. Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems

    Article • Journal of Global Optimization, April 2019, Springer Science + Business Media

    Professor Phan Quoc Khanh

  20. An induction theorem and Ekeland's variational principle in partial metric spaces with applications

    Article • Optimization, March 2019, Taylor & Francis

    Professor Phan Quoc Khanh

  21. Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization

    Article • SIAM Journal on Optimization, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Professor Phan Quoc Khanh

  22. Existence and Boundedness of Second-order Karush-Kuhn-Tucker Multipliers for Set-valued Optimization with Variable Ordering Structures

    Article • Taiwanese Journal of Mathematics, June 2018, The Mathematical Society of the Republic of China

    Professor Phan Quoc Khanh

  23. On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems

    Article • Optimization, April 2018, Taylor & Francis

    Professor Phan Quoc Khanh

  24. Continuity of approximate solution maps of primal and dual vector equilibrium problems

    Article • Optimization Letters, April 2018, Springer Science + Business Media

    Professor Phan Quoc Khanh

  25. Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization

    Article • SIAM Journal on Optimization, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Professor Phan Quoc Khanh

  26. Fixed Points, Continuous Selections, and Existence of Solution of Optimization-Related Problems

    Article • Numerical Functional Analysis and Optimization, July 2017, Taylor & Francis

    Professor Phan Quoc Khanh

  27. Necessary optimality conditions for minimax programming problems with mathematical constraints

    Article • Optimization, July 2017, Taylor & Francis

    Professor Phan Quoc Khanh

  28. A Fixed-Component Point Theorem and Applications

    Article • Bulletin of the Malaysian Mathematical Sciences Society, May 2017, Springer Science + Business Media

    Professor Phan Quoc Khanh

  29. Existence results for -quasimonotone equilibrium problems in convex metric spaces

    Article • Optimization, January 2017, Taylor & Francis

    Professor Phan Quoc Khanh

  30. Variational principles with generalized distances and the modelization of organizational change

    Article • Optimization, September 2016, Taylor & Francis

    Professor Phan Quoc Khanh

  31. Higher-order Karush–Kuhn–Tucker optimality conditions for set-valued optimization with nonsolid ordering cones

    Article • Positivity, August 2016, Springer Science + Business Media

    Professor Phan Quoc Khanh

  32. Second-Order Conditions for Open-Cone Minimizers and Firm Minimizers in Set-Valued Optimization Subject to Mixed Constraints

    Article • Journal of Optimization Theory and Applications, August 2016, Springer Science + Business Media

    Professor Phan Quoc Khanh

  33. Weak Finite Intersection Characterizations of Existence in Optimization

    Article • Bulletin of the Malaysian Mathematical Sciences Society, April 2016, Springer Science + Business Media

    Professor Phan Quoc Khanh

  34. On the Stability and Levitin–Polyak Well-Posedness of Parametric Multiobjective Generalized Games

    Article • Vietnam Journal of Mathematics, March 2016, Springer Science + Business Media

    Professor Phan Quoc Khanh

  35. Topologically-based characterizations of the existence of solutions of optimization-related problems

    Article • Mathematische Nachrichten, July 2015, Wiley

    Professor Phan Quoc Khanh

  36. Approximations of Optimization-Related Problems in Terms of Variational Convergence

    Article • Vietnam Journal of Mathematics, May 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  37. Continuity properties of solution maps of parametric lexicographic equilibrium problems

    Article • Positivity, May 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  38. Criteria for Epi/Hypo Convergence of Finite-Valued Bifunctions

    Article • Vietnam Journal of Mathematics, April 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  39. Second-Order Optimality Conditions with the Envelope-Like Effect for Set-Valued Optimization

    Article • Journal of Optimization Theory and Applications, March 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  40. Erratum to: First- and second-order optimality conditions for multiobjective fractional programming

    Article • Top, March 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  41. Erratum to: On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

    Article • Top, March 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  42. First and second-order optimality conditions without differentiability in multivalued vector optimization

    Article • Positivity, March 2015, Springer Science + Business Media

    Professor Phan Quoc Khanh

  43. An Induction Theorem and Nonlinear Regularity Models

    Article • SIAM Journal on Optimization, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Phan Quoc Khanh

  44. Preface

    Article • Vietnam Journal of Mathematics, December 2014, Springer Science + Business Media

    Professor Phan Quoc Khanh

  45. First- and second-order optimality conditions for multiobjective fractional programming

    Article • Top, September 2014, Springer Science + Business Media

    Professor Phan Quoc Khanh

  46. On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

    Article • Top, May 2014, Springer Science + Business Media

    Professor Phan Quoc Khanh

  47. About Semicontinuity of Set-valued Maps and Stability of Quasivariational Inclusions

    Article • Set-Valued and Variational Analysis, May 2014, Springer Science + Business Media

    Professor Phan Quoc Khanh

  48. Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints

    Article • Optimization, February 2014, Taylor & Francis

    Professor Phan Quoc Khanh

  49. On topological existence theorems and applications to optimization-related problems

    Article • Mathematical Methods of Operations Research, February 2014, Springer Science + Business Media

    Professor Phan Quoc Khanh

  50. LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Professor Phan Quoc Khanh

  51. On Hölder Calmness and Hölder Well-Posedness of Vector Quasi-Equilibrium Problems

    Article • Vietnam Journal of Mathematics, October 2013, Springer Science + Business Media

    Professor Phan Quoc Khanh

  52. On Higher-Order Sensitivity Analysis in Nonsmooth Vector Optimization

    Article • Journal of Optimization Theory and Applications, September 2013, Springer Science + Business Media

    Professor Phan Quoc Khanh

  53. A topological characterization of the existence of fixed points and applications

    Article • Mathematische Nachrichten, September 2013, Wiley

    Professor Phan Quoc Khanh

  54. Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming II: Optimality conditions

    Article • Journal of Mathematical Analysis and Applications, July 2013, Elsevier

    Professor Phan Quoc Khanh

  55. Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming I: l

    Article • Journal of Mathematical Analysis and Applications, July 2013, Elsevier

    Professor Phan Quoc Khanh

  56. Well-posedness of a parametric traffic network problem

    Article • Nonlinear Analysis Real World Applications, June 2013, Elsevier

    Professor Phan Quoc Khanh

  57. Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives

    Article • Journal of Global Optimization, May 2013, Springer Science + Business Media

    Professor Phan Quoc Khanh

  58. Invariant-point theorems and existence of solutions to optimization-related problems

    Article • Journal of Global Optimization, April 2013, Springer Science + Business Media

    Professor Phan Quoc Khanh

  59. Variational Sets of Perturbation Maps and Applications to Sensitivity Analysis for Constrained Vector Optimization

    Article • Journal of Optimization Theory and Applications, January 2013, Springer Science + Business Media

    Professor Phan Quoc Khanh

  60. Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions

    Article • Nonlinear Analysis, January 2013, Elsevier

    Professor Phan Quoc Khanh

  61. First and second-order optimality conditions using approximations for vector equilibrium problems with constraints

    Article • Journal of Global Optimization, September 2012, Springer Science + Business Media

    Professor Phan Quoc Khanh

  62. Versions of Ekeland’s variational principle involving set perturbations

    Article • Journal of Global Optimization, September 2012, Springer Science + Business Media

    Professor Phan Quoc Khanh

  63. Local Uniqueness of Solutions to Ky Fan Vector Inequalities using Approximations as Derivatives

    Article • Journal of Optimization Theory and Applications, May 2012, Springer Science + Business Media

    Professor Phan Quoc Khanh

  64. On Hölder continuity of approximate solutions to parametric equilibrium problems

    Article • Nonlinear Analysis, March 2012, Elsevier

    Professor Phan Quoc Khanh

  65. Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives

    Article • Journal of Global Optimization, February 2012, Springer Science + Business Media

    Professor Phan Quoc Khanh

  66. On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings

    Article • Journal of Optimization Theory and Applications, December 2011, Springer Science + Business Media

    Professor Phan Quoc Khanh

  67. Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization

    Article • Nonlinear Analysis, December 2011, Elsevier

    Professor Phan Quoc Khanh

  68. Well-Posedness Under Relaxed Semicontinuity for Bilevel Equilibrium and Optimization Problems with Equilibrium Constraints

    Article • Journal of Optimization Theory and Applications, November 2011, Springer Science + Business Media

    Professor Phan Quoc Khanh

  69. Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints

    Article • Nonlinear Analysis, September 2011, Elsevier

    Professor Phan Quoc Khanh

  70. Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization

    Article • Computers & Mathematics with Applications, August 2011, Elsevier

    Professor Phan Quoc Khanh

  71. Continuous Selections, Collectively Fixed Points and Weak Knaster–Kuratowski–Mazurkiewicz Mappings in Optimization

    Article • Journal of Optimization Theory and Applications, July 2011, Springer Science + Business Media

    Professor Phan Quoc Khanh

  72. Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials

    Article • European Journal of Operational Research, July 2011, Elsevier

    Professor Phan Quoc Khanh

  73. Variational sets: Calculus and applications to nonsmooth vector optimization

    Article • Nonlinear Analysis, March 2011, Elsevier

    Professor Phan Quoc Khanh

  74. Optimality Conditions Without Continuity in Multivalued Optimization Using Approximations as Generalized Derivatives

    Article • January 2011, Springer Science + Business Media

    Professor Phan Quoc Khanh

  75. Generic Stability and Essential Components of Generalized KKM Points and Applications

    Article • Journal of Optimization Theory and Applications, November 2010, Springer Science + Business Media

    Professor Phan Quoc Khanh

  76. A generalized distance and enhanced Ekeland’s variational principle for vector functions

    Article • Nonlinear Analysis, October 2010, Elsevier

    Professor Phan Quoc Khanh

  77. On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings

    Article • Journal of Global Optimization, June 2010, Springer Science + Business Media

    Professor Phan Quoc Khanh

  78. Existence Results for General Inclusions Using Generalized KKM Theorems with Applications to Minimax Problems

    Article • Journal of Optimization Theory and Applications, April 2010, Springer Science + Business Media

    Professor Phan Quoc Khanh

  79. General existence theorems, alternative theorems and applications to minimax problems

    Article • Nonlinear Analysis, March 2010, Elsevier

    Professor Phan Quoc Khanh

  80. Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces

    Article • Optimization, January 2010, Taylor & Francis

    Professor Phan Quoc Khanh

  81. Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications

    Article • Nonlinear Analysis, December 2009, Elsevier

    Professor Phan Quoc Khanh

  82. Generalized KKM-type theorems in GFC-spaces and applications

    Article • Nonlinear Analysis, August 2009, Elsevier

    Professor Phan Quoc Khanh

  83. Continuity of solution maps of parametric quasiequilibrium problems

    Article • Journal of Global Optimization, May 2009, Springer Science + Business Media

    Professor Phan Quoc Khanh

  84. WELL-POSEDNESS FOR VECTOR QUASIEQUILIBRIA

    Article • Taiwanese Journal of Mathematics, April 2009, The Mathematical Society of the Republic of China

    Professor Phan Quoc Khanh

  85. On the existence of solutions to quasivariational inclusion problems

    Article • Journal of Global Optimization, January 2009, Springer Science + Business Media

    Professor Phan Quoc Khanh

  86. Hölder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces

    Article • Journal of Optimization Theory and Applications, December 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  87. Stability of Solutions in Parametric Variational Relation Problems

    Article • Set-Valued Analysis, July 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  88. First and Second-Order Approximations as Derivatives of Mappings in Optimality Conditions for Nonsmooth Vector Optimization

    Article • Applied Mathematics & Optimization, May 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  89. Higher-Order Variational Sets and Higher-Order Optimality Conditions for Proper Efficiency in Set-Valued Nonsmooth Vector Optimization

    Article • Journal of Optimization Theory and Applications, April 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  90. Variational Sets of Multivalued Mappings and a Unified Study of Optimality Conditions

    Article • Journal of Optimization Theory and Applications, April 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  91. Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to Traffic Networks II: Lower Semicontinuities Applications

    Article • Set-Valued Analysis, March 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  92. Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to Traffic Networks I: Upper Semicontinuities

    Article • Set-Valued Analysis, March 2008, Springer Science + Business Media

    Professor Phan Quoc Khanh

  93. Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems

    Article • Numerical Functional Analysis and Optimization, February 2008, Taylor & Francis

    Professor Phan Quoc Khanh

  94. Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions

    Article • Journal of Global Optimization, December 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  95. Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems

    Article • Journal of Global Optimization, December 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  96. On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems

    Article • Journal of Optimization Theory and Applications, July 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  97. Systems of Set-Valued Quasivariational Inclusion Problems

    Article • Journal of Optimization Theory and Applications, July 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  98. Existence of Solutions to General Quasiequilibrium Problems and Applications

    Article • Journal of Optimization Theory and Applications, May 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  99. Lower Semicontinuity and Upper Semicontinuity of the Solution Sets and Approximate Solution Sets of Parametric Multivalued Quasivariational Inequalities

    Article • Journal of Optimization Theory and Applications, April 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  100. Optimality Conditions for Nonsmooth Multiobjective Optimization Using Hadamard Directional Derivatives

    Article • Journal of Optimization Theory and Applications, April 2007, Springer Science + Business Media

    Professor Phan Quoc Khanh

  101. The solution existence of general variational inclusion problems

    Article • Journal of Mathematical Analysis and Applications, April 2007, Elsevier

    Professor Phan Quoc Khanh

  102. First and Second Order Optimality Conditions Using Approximations for Nonsmooth Vector Optimization in Banach Spaces

    Article • Journal of Optimization Theory and Applications, December 2006, Springer Science + Business Media

    Professor Phan Quoc Khanh

  103. On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems

    Article • Journal of Mathematical Analysis and Applications, September 2006, Elsevier

    Professor Phan Quoc Khanh

  104. Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces

    Article • Journal of Global Optimization, August 2006, Springer Science + Business Media

    Professor Phan Quoc Khanh

  105. Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

    Article • Journal of Global Optimization, August 2005, Springer Science + Business Media

    Professor Phan Quoc Khanh

  106. Some Existence Results for Vector Quasivariational Inequalities Involving Multifunctions and Applications to Traffic Equilibrium Problems

    Article • Journal of Global Optimization, August 2005, Springer Science + Business Media

    Professor Phan Quoc Khanh

  107. On the Existence of Solutions to Vector Quasivariational Inequalities and Quasicomplementarity Problems with Applications Break to Traffic Network Equilibria

    Article • Journal of Optimization Theory and Applications, December 2004, Springer Science + Business Media

    Professor Phan Quoc Khanh

  108. Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

    Article • Journal of Mathematical Analysis and Applications, June 2004, Elsevier

    Professor Phan Quoc Khanh

  109. Multifunction Optimization Problems Involving Parameters: Necessary Optimality Conditions

    Article • Optimization, May 2002, Taylor & Francis

    Professor Phan Quoc Khanh

  110. Article • Positivity, January 1999, Springer Science + Business Media

    Professor Phan Quoc Khanh

  111. Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions

    Article • Journal of Optimization Theory and Applications, November 1995, Springer Science + Business Media

    Professor Phan Quoc Khanh

  112. Invex-convexlike functions and duality

    Article • Journal of Optimization Theory and Applications, October 1995, Springer Science + Business Media

    Professor Phan Quoc Khanh

  113. Optimality Conditions via Norm Scalarization in Vector Optimization

    Article • SIAM Journal on Control and Optimization, May 1993, Society for Industrial & Applied Mathematics (SIAM)

    Professor Phan Quoc Khanh

  114. Proper solutions of vector optimization problems

    Article • Journal of Optimization Theory and Applications, July 1992, Springer Science + Business Media

    Professor Phan Quoc Khanh

  115. On necessary and sufficient conditions in vector optimization

    Article • Journal of Optimization Theory and Applications, December 1989, Springer Science + Business Media

    Professor Phan Quoc Khanh

  116. On general open mapping theorems

    Article • Journal of Mathematical Analysis and Applications, December 1989, Elsevier

    Professor Phan Quoc Khanh

  117. On necessary optimality conditions in vector optimization problems

    Article • Journal of Optimization Theory and Applications, July 1988, Springer Science + Business Media

    Professor Phan Quoc Khanh

  118. An open mapping theorem for families of multifunctions

    Article • Journal of Mathematical Analysis and Applications, June 1988, Elsevier

    Professor Phan Quoc Khanh

  119. An induction theorem and general open mapping theorems

    Article • Journal of Mathematical Analysis and Applications, September 1986, Elsevier

    Professor Phan Quoc Khanh

  120. On Pontryagin maximum principle for linear systems with constraints

    Article • Optimization, January 1985, Taylor & Francis

    Professor Phan Quoc Khanh

  121. A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities

    Article • Springer Science + Business Media

    Professor Phan Quoc Khanh