Main current fields of interest:

• Variational analysis
• Regularity of set-valued mappings
• Scalar and vector optimization
• Set-valued optimization

Research Papers

• M. Durea, E.-C. Stamate, Subdifferentials of set-valued maps and some applications, chapter of the book Deterministic and stochastic equilibrium problems, control and set-optimization, M. Ait-Mansour et al. (Eds.), Springer, to appear.
• M. Durea, E.-A. Florea, E.-C. Stamate, A common approach to vector and set optimization under differentiability assumptions, Optimization, accepted.
• M. Durea, C. Günther, R. Strugariu, C. Tammer, Necessary conditions for approximate solutions of vector and set optimization problems with variable ordering structure, Journal of Dynamics and Games, 14 (2026), 83-107.
• M. Durea, E.-A. Florea, R. Strugariu, Point-based sufficient conditions for sharp solutions in nonsmooth optimization, Journal of Global Optimization, 93 (2025), 451-470.
• M. Durea, E.-A. Florea, Cone-compactness of a set and related topological properties: stability issues and applications, Optimization Methods and Software, 40 (2025), 675-695.
• M. Durea, E.-C. Stamate, An embedding result for a class of epigraphical sets and applications to set optimization, Journal of Nonlinear and Variational Analysis, 9 (2025), 907-925.
• M. Durea, R. Strugariu, C. Tammer, Vector optimization with variable ordering structures: an unifying approach, Set-Valued and Variational Analysis, 33 (2025), article number 9.
• M. Durea, E.-A. Florea, Conic cancellation laws and some applications in set optimization, Optimization, 74 (2025), 2657-2675.
• M. Durea, E.-A. Florea, Weak set-equilibrium problems: existence and stability conditions, Optimization, 73 (2024), 3487-3514.
• M. Durea, E.-A. Florea, Subdifferential calculus and ideal solutions in set optimization problems, Journal of Nonlinear and Variational Analysis, 8 (2024), 533-547.
• M. Durea, E.-A. Florea, Cone-compactness of a set and applications to set-equilibrium problems, Journal of Optimization Theory and Applications, 200 (2024), 1286-1308.
• M. Durea, E.-A. Florea, Directional and approximate efficiency in set optimization, Mathematical Methods of Operations Research, 98 (2023), 435-459.
• M. Durea, Directional derivatives for set-valued maps based on set convergences, Pure and Applied Functional Analysis, 8 (2023), 1401-1411.
• M. Durea, Cone enlargements and applications to vector optimization, Journal of Applied and Numerical Optimization, 5 (2023), 55-70.
• M. Durea, R. Strugariu, Directional derivatives and subdifferentials for set-valued maps applied to set optimization, Journal of Global Optimization, 85 (2023), 687-707.
• M. Burlică, M. Durea, R. Strugariu, New concepts of directional derivatives for set-valued maps and applications to set optimization, Optimization, 72 (2023), 1069-1091.
• M. Burlică, M. Durea, R. Strugariu, On directional subregularity of mappings, Optimization, 72 (2023), 81-105.
• M. Durea, E.-A. Florea, D. Maxim, R. Strugariu, Approximate efficiency in set-valued optimization with variable order, Journal of Nonlinear and Variational Analysis, 6 (2022), 619-640.
• M. Ait Mansour, M. Durea, H. Riahi, Strict directional solutions in vectorial problems: necessary optimality conditions, Journal of Global Optimization, 82 (2022), 119–138.
• M. Durea, D. Maxim, R. Strugariu, Metric inequality conditions on sets and consequences in optimization, Journal of Optimization Theory and Applications, 189 (2021), 744-771.
• T. Chelmuş, M. Durea, Stability of minimality and criticality in directional set-valued optimization problems, Positivity, 25 (2021), 1175-1198.
• M. Durea, R. Strugariu, On the sensitivity of Pareto efficiency in set-valued optimization problems, Journal of Global Optimization, 78 (2020), 581-596.
• M. Durea, Optimality conditions for approximate Pareto minimality, Numerical Functional Analysis and Optimization, 41 (2020), 883-900.
• T. Chelmuş, M. Durea, Exact penalization and optimality conditions for constrained directional Pareto efficiency, Pure and Applied Functional Analysis, 5 (2020), 533-553.
• M. Durea, R. Strugariu, A barrier method in convex vector optimization with generalized constraints, Optimization Letters, 14 (2020), 759-769.
• R. Cibulka, M. Durea, M. Panțiruc, R. Strugariu, On the stability of the directional regularity, Set-Valued and Variational Analysis, 28 (2020), 209-237.
• T. Chelmuş, M. Durea, E.-A. Florea, Directional Pareto efficiency: concepts and optimality conditions, Journal of Optimization Theory and Applications, 182 (2019), 336-365.
• M. Durea, E.-A. Florea, R. Strugariu, Efficiencies and optimality conditions in vector optimization with variable ordering structure, Chapter 8 (pp. 158-209) of Variational Analysis and Set Optimization: Developments and Applications in Decision Making, C. Tammer et al. (Eds.), CRC Press (Taylor & Francis), 2019.
• M. Durea, E.-A. Florea, R. Strugariu, Henig proper efficiency in vector optimization with variable ordering structure, Journal of Industrial and Management Optimization, 15 (2019), 791-815.
• M. Durea, R. Strugariu, Optimality conditions and a barrier method in optimization with convex geometric constraint, Optimization Letters, 12 (2018), 923-931.
• M. Durea, E.-A. Florea, A study of generalized vector variational inequalities via vector optimization problems, Vietnam Journal of Mathematics, 46 (2018), 33-52.
• M. Durea, E.-A. Florea, Calculus of some higher-order derivatives for set-valued mappings and applications to generalized vector optimization, Pacific Journal of Optimization, 14 (2018), 431-449.
• M. Durea, R. Strugariu, Vectorial penalization for generalized functional constrained problems, Journal of Global Optimization, 68 (2017), 899-923.
• M. Durea, R. Strugariu, C. Tammer, On some methods to derive necessary and sufficient optimality conditions in vector optimization, Journal of Optimization Theory and Applications, 175 (2017), 738-763.
• M. Durea, M. Panțiruc, R. Strugariu, A new type of directional regularity for mappings and applications to optimization, SIAM Journal on Optimization, 27 (2017), 1204-1229.
• M. Durea, R. Strugariu, Generalized penalization and maximization of vectorial nonsmooth functions, Optimization, 66 (2017), 903-915.
• M. Durea, M. Panțiruc, R. Strugariu, Minimal time function with respect to a set of directions. Basic properties and applications, Optimization Methods and Software, 31 (2016), 535-561.
• M. Durea, R. Strugariu, Metric subregularity of composition set-valued mappings with applications to fixed point theory, Set-Valued and Variational Analysis, 24 (2016), 231-251.
• M. Durea, R. Strugariu, C. Tammer, On set-valued optimization problems with variable ordering structure, Journal of Global Optimization, 61 (2015), 745-767.
• M. Apetrii, M. Durea, R. Strugariu, A new penalization tool in scalar and vector optimizations, Nonlinear Analysis: Theory, Methods and Applications, 107 (2014), 22-33.
• M. Durea, V. N. Huyhn, H. T. Nguyen, R. Strugariu, Metric regularity of composition set-valued mappings: metric setting and coderivative conditions, Journal of Mathematical Analysis and Applications, 412 (2014), 41-62.
• M. Durea, R. Strugariu, Scalarization of constraints system in some vector optimization problems and applications, Optimization Letters, 8 (2014), 2021-2037 (erratum, idem, 2039-2040).
• M. Durea, R. Strugariu, Chain rules for linear openness in metric spaces and applications, Mathematical Programming Serie A, 143 (2014), 147-176.
• M. Durea, R. Strugariu, C. Tammer, Scalarization in geometric and functional vector optimization revisited, Journal of Optimization Theory and Applications, 159 (2013), 635-655.
• M. Durea, H. T. Nguyen, R. Strugariu, Metric regularity of epigraphical multivalued mappings and applications to vector optimization, Mathematical Programming Serie B, 139 (2013), 139-159.
• M. Durea, R. Strugariu, Calculus of tangent sets and derivatives of set-valued maps under metric subregularity conditions, Journal of Global Optimization, 56 (2013), 587-603.
• M. Apetrii, M. Durea, R. Strugariu, On subregularity properties of set-valued mappings. Applications to solid vector optimization, Set-Valued and Variational Analysis, 21 (2013), 93-126.
• M. Durea, R. Strugariu, Openness stability and implicit multifunction theorems. Applications to variational systems, Nonlinear Analysis: Theory, Methods and Applications, 75 (2012), 1246-1259.
• M. Durea, R. Strugariu, Chain rules for linear openness in general Banach spaces, SIAM Journal on Optimization, 22 (2012), 899-913.
• M. Durea, R. Strugariu, On parametric vector optimization via metric regularity of constraint systems, Mathematical Methods of Operations Research, 74 (2011), 409-425.
• M. Durea, R. Strugariu, Existence conditions for generalized vector variational inequalities, Annals of Operations Research, 191 (2011), 255-262.
• M. Durea, J. Dutta, Chr. Tammer, Stability properties of KKT points in vector optimization, Optimization, 60 (2011), 823-838.
• M. Durea, R. Strugariu, On some Fermat rules for set-valued optimization problems, Optimization, 60 (2011), 575-591.
• M. Durea, R. Strugariu, Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization, Optimization Letters, 5 (2011), 141-151.
• M. Durea, R. Strugariu, Necessary optimality conditions for weak sharp minima in set-valued optimization, Nonlinear Analysis: Theory, Methods and Applications, 73 (2010), 2148-2157.
• M. Durea, Openness properties for parametric set-valued mappings and implicit multifunctions, Nonlinear Analysis: Theory, Methods and Applications, 72 (2010), 571-579.
• M. Durea, Remarks on strict efficiency in scalar and vector optimization, Journal of Global Optimization, 47 (2010), 13-27.
• M. Durea, J. Dutta, Chr. Tammer, Lagrange multipliers for $\varepsilon$- Pareto solutions in vector optimization with non solid cones in Banach spaces, Journal of Optimization Theory and Applications, 145 (2010), 196-211.
• M. Durea, R. Strugariu, Some remarks an proximal point algorithm in scalar and vectorial cases, Nonlinear Functional Analysis and Applications, 15 (2010), 307-319.
• M. Durea, R. Strugariu, Quantitative results on openness of set-valued mappings and implicit multifunction theorems, Pacific Journal of Optimization, 6 (2010), 533-549.
• M. Durea, Chr. Tammer, Fuzzy necessary optimality conditions for vector optimization problems, Optimization, 58 (2009), 449-467.
• M. Durea, J. Dutta, Chr. Tammer, Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension, Journal of Mathematical Analysis and Applications, 348 (2008), 589-606.
• M. Durea, Optimality conditions for weak and firm efficiency in set-valued optimization, Journal of Mathematical Analysis and Applications, 344 (2008), 1018-1028.
• M. Ait Mansour, M. Durea, M. Théra, A lower semicontinuous regularization for set-valued mappings and its applications, Journal of Convex Analysis, 15 (2008), 437-484.
• M. Durea, J. Dutta, Lagrange multipliers for Pareto minima in general Banach spaces, Pacific Journal of Optimization, 4 (2008), 447-463.
• M. Durea, Some cone separation results and applications, Revue d'Analyse Numerique et de Theorie de l'Approximation, 37 (2008), 37-46.
• M. Durea, Calculus of the Bouligand derivative of set-valued maps in Banach spaces, Nonlinear Functional Analysis and Applications, 13 (2008), 573-585.
• M. Durea, Scalarization for pointwise well-posed vectorial problems, Mathematical Methods of Operations Research, 66 (2007), 409-418.
• M. Durea, On the existence and stability of approximate solutions of perturbed vector equilibrium problems, Journal of Mathematical Analysis and Applications, 333 (2007), 1165-1176.
• M. Durea, First and second order Lagrange claims for set-valued maps, Journal of Optimization Theory and Applications, 133 (2007), 111-116.
• M. Durea, Estimations of the Lagrange multipliers' norms in set-valued optimization, Pacific Journal of Optimization, 2 (2006), 487-501.
• M. Durea, Some existence and stability results of solutions for vector equilibrium problems, Nonlinear Functional Analysis and Applications, 11 (2006), 125-138.
• M. Durea, On some constraint qualification conditions in set-valued optimization, Pure Mathematics and Applications, 15 (2005), 393-408.
• M. Durea, Openness results for multifunctions via an abstract subdifferential, Mathematica (Cluj), 47 (2005), 61-72.
• M. Durea, Global and local optimality conditions in set-valued optimization problems, International Journal of Mathematics and Mathematical Sciences, 11 (2005), 1693-1711.
• M. Durea, Variational inclusions for contingent derivative of set-valued maps, Journal of Mathematical Analysis and Applications, 292 (2004), 351-363.
• M. Durea, First and second order optimality conditions for set-valued optimization problems, Rendiconti del Circolo Matematico di Palermo, 53 (2004), 451-468.
• M. Durea, Generalized vector equilibrium problems and applications, PanAmerican Mathematical Journal, 14 (2004), 37-50.
• M. Durea, On error bounds for vector valued functions, Pure Mathematics and Applications, 14 (2003), 173-180.
• M. Durea, Applications of the Fréchet subdifferential, Serdica Mathematical Journal, 29 (2003), 301-314.