World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
2960
World Ranking
3399
National Ranking
2

Overview

Phan Quoc Khanh is affiliated with Vietnam National University, Ho Chi Minh City in Vietnam. Their research activity spans multiple disciplines with a primary focus on mathematics and computer science. Within these overarching fields, their work emphasizes computational theory and mathematics, numerical analysis, economics and econometrics, applied mathematics, and geometry and topology.

Their research topics include:

  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Economic theories and models
  • Nonlinear Differential Equations Analysis
  • Fixed Point Theorems Analysis
  • Topology Optimization in Engineering
  • Optimization and Mathematical Programming

Phan Quoc Khanh has contributed to several scholarly papers, illustrating an emphasis on optimization and variational problems. Selected recent publications include:

  • On the Mangasarian-Fromovitz constraint qualification and Karush-Kuhn-Tucker conditions in nonsmooth semi-infinite multiobjective programming, 2020, published in Optimization Letters
  • Versions of the Subgradient Extragradient Method for Pseudomonotone Variational Inequalities, 2020, published in Acta Applicandae Mathematicae
  • Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order, 2021, published in Positivity
  • Epi/Hypo-Convergence of Bifunctions on General Domains and Approximations of Quasi-Variational Problems, 2020, published in Set-Valued and Variational Analysis
  • A relaxed projection method for solving bilevel variational inequality problems, 2024, published in Optimization

Their research has appeared frequently in these publication venues:

  • Positivity
  • Optimization
  • Journal of Optimization Theory and Applications
  • Set-Valued and Variational Analysis
  • Optimization Letters

Collaborative work is significant in their research career. Frequent co-authors include:

  • Lâm Quốc Anh
  • Hồng Quân Nguyễn
  • Nguyễn Minh Tùng
  • Huynh Thi Hong Diem
  • Nguyen Xuan Duy Bao

The scientist's multidisciplinary approach integrates mathematical theory, computational methods, and economic modeling, addressing complex problems in optimization and variational analysis. Their publication record and collaborative network reflect sustained engagement within these academic communities.

Best Publications

  • Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

    L.Q. Anh;P.Q. Khanh

  • On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems

    L. Q. Anh;P. Q. Khanh

  • Continuity of solution maps of parametric quasiequilibrium problems

    Lam Quoc Anh;Phan Quoc Khanh

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

    L.Q. Anh;P.Q. Khanh

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

    Lam Quoc Anh;Phan Quoc Khanh

  • Stability of Solutions in Parametric Variational Relation Problems

    P. Q. Khanh;D. T. Luc

  • Existence of Solutions to General Quasiequilibrium Problems and Applications

    N. X. Hai;P. Q. Khanh

  • The solution existence of general variational inclusion problems

    N.X. Hai;P.Q. Khanh

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

    P. Q. Khanh;L. M. Luu

  • Generalized KKM-type theorems in GFC-spaces and applications

    Phan Quoc Khanh;Nguyen Hong Quan;Jen-Chih Yao

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

    P. Q. Khanh;L. M. Luu

  • Optimality Conditions for Nonsmooth Multiobjective Optimization Using Hadamard Directional Derivatives

    P. Q. Khanh;N. D. Tuan

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

    Lam Quoc Anh;Phan Quoc Khanh

  • Proper solutions of vector optimization problems

    P. Q. Khanh

  • Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems

    Lam Quoc Anh;Phan Quoc Khanh

  • Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

    Phan Quoc Khanh;Le Minh Luu

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

    Lam Quoc Anh;Phan Quoc Khanh

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

    Phan Quoc Khanh;Le Minh Luu

  • WELL-POSEDNESS FOR VECTOR QUASIEQUILIBRIA

    Lam Quoc Anh;Phan Quoc Khanh;Dang Thi My Van;Jen-Chih Yao

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

    Nguyen Le Hoang Anh;Phan Quoc Khanh;Le Thanh Tung

Frequent Co-Authors

Jen-Chih Yao
Jen-Chih Yao China Medical University

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