PERSONAL INFORMATION
Alireza Kabgani, Ph. D.
Assistant Professor
Mathematics Group, Department of Environment
Urmia University of Technology
Band High Way, P.O. Box ۵۷۱۵۵-۴۱۹, Urmia, Iran.
Email: a.kabganiut.ac.ir, a.kabganiuut.ac.ir
Non-Resident Researcher
School of Mathematics, Institute for Research in Fundamental Sciences (IPM),
P.O. Box ۱۹۳۹۵-۵۷۴۶, Tehran, Iran.
Email: a.kabganiipm.ir
Google Scholar
https://orcid.org/۰۰۰۰-۰۰۰۱-۶۵۵۴-۶۹۶۹
RESEARCH INTERESTS
Non-convex Optimization
Nonsmooth Optimization
Multiobjective Optimization
Semi-infinite Optimization
EDUCATION
Ph.D. in Applied Mathematics (Operation research and Optimization), University of Tehran, Tehran, Iran, ۲۰۱۷.
Thesis Title: Optimality conditions and generalized gradients.
Supervisor: Dr. Majid Soleimani-damaneh.
Adviser: Dr. Mohammad B. Asadi.
M.Sc. in Applied Mathematics (Operation research and Optimization), University of Tehran, Tehran, Iran, ۲۰۱۲.
Dissertation Title: Limiting subdifferentials in Hilbert spaces and nonsmooth optimization.
Supervisors: Dr. Majid Soleimani-damaneh and Dr. Mohammad B. Asadi.
B.Sc. in Pure Mathematics, University of Tabriz, Tabriz, Iran, ۲۰۱۰.
PUBLICATIONS
- F. Lara, A. Kabgani (۲۰۲۱) On global subdifferentials with applications in nonsmooth optimization. Journal of Global Optimization , Doi: ۱۰.۱۰۰۷/s۱۰۸۹۸-۰۲۰-۰۰۹۸۱-۱
- A. Kabgani, M. Soleimani-damaneh (۲۰۱۹) Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators. Pacific Journal of Optimization, ۱۵(۳), ۳۹۹-۴۱۳. Link
- A. Kabgani, M. Soleimani-damaneh (۲۰۱۸). Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. Optimization (GOPT), Doi: ۱۰.۱۰۸۰/۰۲۳۳۱۹۳۴.۲۰۱۷.۱۳۹۳۶۷۵
- A. Kabgani, M. Soleimani-damaneh (۲۰۱۷). Relationships between convexificators and Greenberg-Pierskalla subdifferentials for quasiconvex functions. Numerical Functional Analysis and Optimization. Doi: ۱۰.۱۰۸۰/۰۱۶۳۰۵۶۳.۲۰۱۷.۱۳۴۹۱۴۴
- A. Kabgani, M. Soleimani-damaneh, M. Zamani (۲۰۱۷). Optimality conditions in optimization problems with convex feasible set using convexificators. Mathematical Methods of Operations Research. Doi: ۱۰.۱۰۰۷/s۰۰۱۸۶-۰۱۷-۰۵۸۴-۲
- M. Zamani, M. Soleimani-damaneh, A. Kabgani (۲۰۱۵) Robustness in nonsmooth nonlinear multi-objective programming. European Journal of Operational Research. Doi: ۱۰.۱۰۱۶/j.ejor.۲۰۱۵.۰۶.۰۳۱
CONFERENCES
- A. Kabgani (۲۰۲۰, September, ۶-۹). Optimality Conditions for Nonsmooth Quasi-Convex Optimization Problems Using 𝜺-Upper Regular Convexificators. ۱۳th International Conference of Iranian Operations Reserach Society. Shahrood, Iran.
- M. Soleimani-damaneh, A. Kabgani (۲۰۱۶, July, ۱-۲). Semi-quasidifferentiable multiobjective optimization. ۱۴th EUROPT Workshop on Advances in Continuous Optimization. Warsaw, Poland.
- E. Lotfian, A. Kabgani, Z. Barkhordari-fard (۲۰۱۶, April, ۲۷-۲۸). Kernel smoothed density estimation for C۱,۱ probability density functions (in Persian). ۱st Seminar on nonparametric statistics and its applications. Tehran, Iran.
- A. Kabgani, M. Soleimani-damaneh, M. Zamani (۲۰۱۵, August, ۲-۷). Optimality conditions in nonsmooth convex multi-objective programming using convexificators.۲۳rd International Conference on Multiple Criteria Decision Making. Humburg, Germany.
- M. Zamani, M. Soleimani-damaneh, A. Kabgani (۲۰۱۵, August, ۲-۷). Robust solutions of nonlinear multiple-objective programming problems. Humburg, Germany.
- A. Kabgani (۲۰۱۳, January, ۱۹-۲۲). The uniqueness of KKT multipliers for nonsmooth multiple-objective optimization in separable Hilbert spaces. International Conference on Operations Research and Optimization. Tehran, Iran.
TALKS
- Generalized Gradients: A Historical Review (۲۰۲۱). Urmia University of Technology, Urmia, Iran
- Subdifferentials and nonsmooth optimization (۲۰۱۶). Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.
- CQ conditions for nonconvex semi-infinite problems (۲۰۱۶). Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.
RESEARCH PROJECTS
- Nonsmooth Multi-objective Optimization Using Non-classical subdifferential and Its Applications (۲۰۲۱). Iran National Science Foundation.
- Quasidifferentiability and Its Applications in Nonsmooth Optimization Problems (۲۰۲۰). School of Mathematics, IPM, Tehran, Iran.
- Nonsmooth Optimization Using Convexificators (۲۰۱۹). School of Mathematics, IPM, Tehran, Iran.
TEACHING EXPERIENCES
- Linear Optimization I, University of Tehran.
- Linear Optimization II, University of Tehran.
- Nonlinear Optimization, University of Tehran.
- Engineering Mathematics, Ghiasodin Jamshid Kashani Institute.
- Linear Algebra, Ghiasodin Jamshid Kashani Institute.
- Algebra, Ghiasodin Jamshid Kashani Institute.
- Discrete Mathematics, Ghiasodin Jamshid Kashani Institute.
- Logic and Set Theory, Ghiasodin Jamshid Kashani Institute.
- Calculus I, Ghiasodin Jamshid Kashani Institute, Urmia University of Technology.
- Calculus II, Ghiasodin Jamshid Kashani Institute, Urmia University of Technology.
- Differential Equations, Urmia University of Technology.
- Introduction to LaTeX, University of Tehran.
MEMBERSHIPS
- IORS (Iranian Operation Research Society)
- IMS (Iranian Mathematical Society)
- International MCDM Society
- WGGC (Working Group on Generalized Convexity)
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