Homepage of Soghra Nobakhtian

Department of Mathematics, University of Isfahan
 

 

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     Publications:

 

 

 

  • N Araboljadidi, S Nobakhtian. Distributed Subgradient Methods for Non-Convex Non-Smooth Constrained Optimization Problems.To appear in Optimization and Engineering, 2025 .

  • Hoseini Monjezi, N., Nobakhtian, S. A bundle trust-region algorithm for nonsmooth nonconvex constrained optimization, Optimization Methods and Software, 40(4), 813–836,( 2025).

  •  Hoseini Monjezi, N., Nobakhtian, S. A dynamic multiple proximal bundle algorithm for locally Lipschitz multiobjective optimization problems. To appear in Optimization.

  • Hoseini Monjezi, N., Nobakhtian, S. Pouryayevali, M.R. Nonsmooth nonconvex optimization on Riemannian manifolds via bundle trust region algorithm. Comput Optim Appl. Vol. 88, 871–902, (2024).

  •  N. Hoseini Monjezi, S. Nobakhtian, New  proximal bundle-based algorithm  based on the gradient sampling method for nonsmooth nonconvex optimization with exact and inexact information. Numerical Algorithms, 2023 94. 765-787.

  •  H Badrsimaei, RA Hooshmand, S Nobakhtian, Observable placement of phasor measurement units for defense against data  integrity attacks in real time power markets. Reliability Engineering and System Safety. 230 (2023).

  • H Badrsimaei, RA Hooshmand, S Nobakhtian, Stealthy and profitable data injection attack on real time electricity market with network model uncertainties, Electric Power Systems Research, Volume 205, 2022.

  •  H Badrsimaei, RA Hooshmand, S Nobakhtian, Monte-Carlo-based data injection attack on electricity markets with network parametric and topology uncertainties, International Journal of Electrical Power and Energy Systems, Volume 138, 2022.

  • S. Nobakhtian, A. Raeisi Dehkordi, A new algorithm for the minimax location problem with the closest distance. Optimization.  Vol. 72, 2893-2923, (2023)

  •  N. Hoseini Monjezi, S. Nobakhtian, M. R. Pouryayevali, A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds.  IMA Journal of Numerical Analysis, 2023. 43, 293-325

  •  N. Hoseini Monjezi, S. Nobakhtian, A proximal bundle-based algorithm for nonsmooth constrained multiobjective optimization problems with inexact data. Numerical Algorithms, 2022, 89 (2), 637-674.

  •  F. Mashkoorzadeh, N. Movahedian, and S. Nobakhtian, The DTC (Difference of Tangentially Convex Functions) Programming: Optimality Conditions. TOP. 2022, 270-295.

  •  N. Hoseini Monjezi, S. Nobakhtian, Convergence of the proximal bundle algorithm for nonsmooth nonconvex optimization problems. Optimization Letters volume 16, pages1495–1511 (2022)

  •  N Movahedian, S Nobakhtian, M Sarabadan, Sparsity constrained optimization problems via disjunctive programming, Optimization, 2022. 71:10, 2979-3005.

  • N. Hoseini Monjezi, S. Nobakhtian, A filter proximal bundle method for nonsmooth nonconvex constrained optimization. Journal of Global Optimization.  2021, 79: 1-37.

  • Hoseini Monjezi, N., Nobakhtian, S. An inexact multiple proximal bundle algorithm for nonsmooth nonconvex multiobjective optimization problems.Ann. Oper. Res. 2022, 311: 1123-1154.

  • F. Mashkoorzadeh, N. Movahedian, and S. Nobakhtian, Robustness in Nonsmooth Nonconvex Optimization Problems.
    Positivity.  2021, 25 (2), 701-729.

  • M. Alavi Hejazi, S. Nobakhtian, Optimality conditions for multiobjective fractional programming, via convexificators, Journal of industrial management and optimization. 2020, 16(2): 623--631.

  • N. Hoseini Monjezi, S. Nobakhtian, A new infeasible proximal bundle
    algorithm for nonsmooth nonconvex constrained optimization, Computational Optimization and Applications, 74, 443–-480 (2019).

  • N. Movahedian, S. Nobakhtian, M. Sarabadan, Nonsmooth sparsity constrained optimization problems:
    optimality conditions. Optimization Letters.     13 (2019), no. 5, 1027–1038.

  •   M. Alavi Hejazi, N. Movahediana, S. Nobakhtian, On Constraint Qualifications and Sensitivity Analysis for General      Optimization Problems via Pseudo-Jacobians.  Journal of Optimization Theory and Applications. 2018, 179:778--799

  • N. Hoseini, S. Nobakhtian, A new trust region method for nonsmooth nonconvex optimization. Optimization, Vol. 67, 2018. 1265-1286.

  • S. Nobakhtian, A. Raeisi Dehkordi, A fast algorithm for the rectilinear distance location problem.  Mathematical Methods of Operations Research.  2018, 88:81--98.

  • S. Nobakhtian, A. Raeisi Dehkordi, An algorithm for generalized constrained multi-source
    Weber problem with demand substations,  4OR-A Quarterly Journal of Operations Research . 2018.    16:343--377

  • M. Alavi Hejazi, S. Nobakhtian, Optimality conditions for multiobjective fractional programming, via convexificators, To appear in Journal of Industrial Management and Optimization. 2019.

  • M. Alavi Hejazi, S. Nobakhtian, Sensitivity analysis of the value function for nonsmooth
    optimization problems. Operations Research Letters  (2017) Vol. 45, 348–352.

  • M. Alavi Hejazi, S. Nobakhtian,  Multiobjective problems: Enhanced necessary conditions
    and new constraint qualifications via convexificators. Numerical
    Functional Analysis and Optimization. 2018, Vol. 39, No. 1, 11–37.
     

  •  A. Ansari  Ardali, N. Movahedian, S.Nobakhtian . Convexificators and boundedness of the Kuhn-Tucker multipliers
    set. Optimization. 2017, Vol. 66, No. 9, 1445-1463.

  • S. Nobakhtian and  N. Shafei, A Benson type algorithm for nonconvex
    multiobjective programming problems.  TOP. 2017, Vol. 25, No. 2,  271-287.

  • N. Kanzi, S. Nobakhtian, Nonsmooth multiobjective semi-infinite problems with mixed constraints.  Pacific Journal of Optimization. 2017, Vol. 13. No. 1. 43-53.

  • A. Ansari  Ardali, S. Nobakhtian., Boundedness of the strong KKT multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization,  Mathematical Reports.  2016, 18(68), 2 , 279-297.

  •  A. Ansari  Ardali, N. Movahedian1 · S.Nobakhtian .  Optimality Conditions for Nonsmooth Equilibrium Problems via Hadamard Directional Derivative . Set-Valued and Variational Analysis  2016, Vol. 24, No. 3 483-497.

                                                                                                                                                          

  • A. Ansari Ardali and N. Movahedian and S. Nobakhtian Convexificators and boundedness of the Kuhn-Tucker multipliers set.  Optimization . (2016)Vol. 65, No. 1, 67-85.

  • A. Ansari  Ardali, S. Nobakhtian. Optimality conditions for isolated local minimum of nonsmooth multiobjective problems. Numerical Functional Analysis and Optimization. (2015) 36: 1-20.

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  •  M. Castellani, M. Giuli, S. Nobakhtian, M. Pappalardo, Local cone approximations in mathematical programming,  Optimization. (2015) Vol. 64, No. 8, 1669-1681.

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  • M. Golestani and S. Nobakhtian. Optimality conditions for nonsmooth semidefinite programming via convexificators. Positivity, (2015) 19,   221-236.

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  • N. Kanzi, S. Nobakhtian, Optimality conditions for nonsmooth semiin nite multiobjective programming, Optimization Letters, 2014, 8: 1517-1528.

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  •  M.Golestani, S. Nobakhtian, Nonsmooth multiobjective programming: strong KuhnTucker conditions, Positivity, (2013),17: 711-732.

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  •  M.Golestani, S. Nobakhtian, Nonsmooth multiobjective programming and constraint qualifications, Optimization. ( 2013) 62: 783-795.

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  • M. Golestani, S. Nobakhtian, Convexicators and strong Kuhn-Tucker conditions,  Computers and   Mathematics with Applications. 64 (2012) 550-557.

  •  S. Nobakhtian, M. R. Pouryayevali, Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems. Journal of Optimization Theory and Applications. (2012) 152:245- 255.

  • S. Nobakhtian, M. R. Pouryayevali, KKT optimality conditions and nonsmooth continuous time optimization problems, Numerical Functional Analysis and Optimization. ( 2011) 32(11):1175- 1189.

  •  N. Kanzi, S. Nobakhtian, necessary optimality conditions for Nonsmooth Generalized Semi-Infinite Programming Problems, European Journal of Operational Research. 205 (2010) 253 -261.

  • D. Foladivanda, M. Hashemi, and S. Nobakhtian, Convergence Conditions for Decentralized Optimal traffic engineering in connectionless networks, IEEE Transactions on Communications, Vol. 58, NO. 5, (2010) 1333 - 1337.

  • N. Movahedian and S. Nobakhtian, Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints, Nonlinear Analysis. 72 (2010) 2694-2705 .

  •  S. Nobakhtian, Multiobjective problems with nonsmooth equality constraints, Numerical Functional Analysis and Optimization. (2009) 30, 337-351.

  •  N. Movahedian and S. Nobakhtian, Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints, Set Valued Analysis. (2009) 17, 63-95.

  •  N. Kanzi, S. Nobakhtian, Nonsmooth semi-infinite programming problems with mixed constraints, Journal of Mathematical Analysis and Applications (2009) 351, 170-181.

  •  S. Nobakhtian, Nonsmooth Multiobjective Continuous-Time problems with generalized invexity, Journal of Global Optimization. (2009) 43, 593-606.

  •  N. Movahedian and S. Nobakhtian, Nondifferentiable multiplier rules for optimization problems with equilibrium constraints, Journal of Convex Analysis. (2009) 16, 187-210.

  • N. Kanzi, S. Nobakhtian, Optimality conditions for non-smooth semi-infinite programming, Optimization. (2008) 1-11.

  •  S. Nobakhtian, Optimality and duality for nonsmooth multiobjective fractional programming with mixed constraints, Journal of Global Optimization. (2008) 41, 103-115.

  •  S. Nobakhtian, Generalized (F,p)-convexity and duality in nonsmooth multiobjective optimization problem, Journal of Optimization Theory and Applications, (2008) 136, 61-68.

  •  S. Nobakhtian and M. R. Pouryayevali, Optimality criteria for nonsmoth multiobjective optimization continuous-time problems, Journal of Optimization Theory and Applications. (2008) 136, 69-76.

  •  S. Nobakhtian and M. R. Pouryayevali, Duality for nonsmooth vector optimization Continuous- Time problems, Journal of Optimization Theory and Applications. (2008) 136, 77-85.

  •  S. Nobakhtian, Mixed duality without constraint quali cation for nonsmooth fractional programming, Numerical Functional Analysis and Optimization, (2007) 28, 1355-1367.

  •  S. Nobakhtian, Sufficiency in Nonsmooth multiobjective Programming involving generalized (F,p)-convexity, Journal of Optimization Theory and Applications, Vol. 130, No. 2, (2006) 359-365.

  • S. Nobakhtian, Optimality criteria and duality in multiobjective programming involving nonsmooth invex functions, Journal of Global Optimization, Vol 35, (2006), 593-600.

  •  S. Nobakhtian, Infine functions and nonsmooth multiobjective optimization problems, Journal of Computers and Mathematics with Applications,Vol 51, (2006), 1385-1394.

  •  S. Nobakhtian, Duality without constraint qualification in nonsmooth optimization, International Journal of Mathematics and Mathematical Sciences, Vol 1, (2006), 1-11.

  •  S. Nobakhtian and R. Stern, Universal near-optimal feedbacks, Journal of Optimization Theory and Application Vol. 107, No 1, (2000) 89-122.

 

 

     Papers presented in conferences and seminars:

 

 

  • [1] M. Golestani, S. Nobakhtian, Convexificators and optimality
    conditions, International Conference on Operations Research and
    Optimization, IPM, Tehran, Iran, 2011.

    [2] S. Nobakhtian, Efficiency in nonsmooth multiobjective control
    problems, 40th Annual Iranian mathematical conference, 2009.
     

  • [3] S. Nobakhtian, "Avoiding a constraint qualification in
    multiobjective optimization", The Second International Conference
    on Modeling, Simulation, and Applied Optimization. The Petroleum
    Institute Abu Dhabi, UAE, 2007.


    [4] S. Nobakhtian, Multiobjective continious time optimization
    problems, Internatinal Conference on Nonlinear Analysis and
    optimization, April, 2007. Isfahan,Iran.

    [5] S. Nobakhtian, Duality in multiobjective programming, 36th
    Annual Iranian mathematical conference, Sept. 2005.

    [6] S. Nobakhtian, Generalized convexity and duality, 35th Annual
    Iranian mathematical conference, January, 24-26, 2005.

    [7] S. Nobakhtian, Nondifferentiable parametric optimization
    problems and value formula, 15th Seminar mathematical Analysis and
    its Applications, march 9-10, 2005, Sistan, Baluchestan
    University.

    [8] S. Nobakhtian, Nondifferentiable multiobjective programming
    under Generalized convexity, McMaster optimization conference,
    McMaster University, July 28-30, 2004, Canada.

    [9] S. Nobakhtian, Optimality Criteria and Duality for
    multiobjective Programming. Proceeding of the 14th Seminar of
    mathematical Analysis and its Applications, Iran, 144-158, 2004.

    [10] S. Nobakhtian,Limiting subdifferential and optimal control
    problems, Workshop on Nonlinear and convex Analysis, Isfahan,
    Iran, 2004.

    [11] S. Nobakhtian, and M. R. Pouryayevali, Nonsmooth Optimization
    on Riemannian Mainfolds, Proceeding of the 2nd Seminar on Geometry
    and Topology, Iran, February, 2003.

    [12] S. Nobakhtian, Proximal Characterization of Pareto optima,
    13th Seminar of mathematical Analysis and and its Applications,
    Iran, 73-78, 2003.

    [13] S. Nobakhtian, Value function and optimal control problems,
    proceedings of the First Workshop on Nonlinear Function Analysis
    and Applications, Iran, 193-204, 2002.

    [14] S. Nobakhtian, Characterization of Optimality for
    non-differentiable LFS function, Proceeding of the 12th Seminar of
    Mathematical Analysis and its Applications, Iran 141-153, 2002.

    [15] S. Nobakhtian, Optimality for nonsmooth multiobjective
    programming, proceeding of the 33th Iranian Mathematics
    conference, August, 2002.

    [16] S. Nobakhtian, Universal Near saddle point in differential
    games, proceeding of the 32th Iranians Mathematics conference,
    August, 2001.




         Book

    S. Nobakhtian and M. R. Pouryayevali, Optimality conditions and
    duality for nonsmooth multiobjective continuous time problems, In
    Optimality conditions in vector optimization, Bentham eBooks,
    2010, 164-182. ISBN: 978-1-60805-110-6, 2010.