Publications

Articles

36. M. Durea, R. Strugariu, Directional derivatives and subdifferentials for set-valued maps applied to set optimization, Journal of Global Optimization, 85 (2023), 687–707
35. M. Burlică, M. Durea, R. Strugariu, New concepts of directional derivatives for set-valued maps and applications to set optimization, Optimization, online first
34. M. Burlică, M. Durea, R. Strugariu, On directional subregularity of mappings, Optimization, 72 (2023), 81-105
33. 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
32. 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
31. M. Durea, R. Strugariu, On the sensitivity of Pareto efficiency in set-valued optimization problems, Journal of Global Optimization, 78 (2020), 581–596
30. M. Durea, R. Strugariu, A barrier method in convex vector optimization with generalized constraints, Optimization Letters, 14 (2020), 759–769
29. R. Cibulka, M. Durea, M. Panțiruc, R. Strugariu, On the stability of the directional regularity, Set-Valued and Variational Analysis, 28 (2020), 209–237
28. 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
27. M. Durea, R. Strugariu, Optimality conditions and a barrier method in optimization with convex geometric constraint, Optimization Letters, 12 (2018), 923–931
26. M. Durea, R. Strugariu, Vectorial penalization for generalized functional constrained problems, Journal of Global Optimization, 68 (2017), 899-923.
25. M. Durea, M. Pantiruc, R. Strugariu, A new type of directional regularity for mappings and applications to optimization, SIAM Journal on Optimization, 27 (2017), 1204-1229.
24. 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.
23. M. Durea, R. Strugariu, Generalized penalization and maximization of vectorial nonsmooth functions, Optimization, 66 (2017), 903-915.
22. M. Durea, M. Pantiruc, R. Strugariu, Minimal time function with respect to a set of directions: basic properties and applications, Optimization Methods and Software, 31 (2016), 535-561.
21. 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.
20. M. Durea, R. Strugariu, C. Tammer, On set-valued optimization problems with variable ordering structure, Journal of Global Optimization, 61 (2015), 745-767.
19. 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.
18. N. Apreutesei, G. Dimitriu, R. Strugariu, An optimal control problem for a two-prey and one-predator model with diffusion, Computers & Mathematics with Applications, 67 (2014), 2127-2143.
17. M. Durea, V. N. Huynh, 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.
16. M. Durea, R. Strugariu, Scalarization of constraints system in some vector optimization problems and applications, Optimization Letters, 8 (2014), 2021-2037.
15. M. Durea, R. Strugariu, C. Tammer, Scalarization in geometric and functional vector optimization revisited, Journal of Optimization Theory and Applications, 159 (2013), 635-655.
14. 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.
13. M. Durea, R. Strugariu, Chain rules for linear openness in general metric spaces and applications, Mathematical Programming, Serie A, 143 (2014), 147-176.
12. 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.
11. 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.
10. M. Durea, R. Strugariu, Chain rules for linear openness in general Banach spaces, SIAM Journal on Optimization, 22 (2012), 899-913.
9. M. Durea, R. Strugariu, Openness stability and implicit multifunction theorems: Applications to variational systems, Nonlinear Analysis: Theory, Methods and Applications, 75 (2012), 1246-1259.
8. M. Durea, R. Strugariu, On parametric vector optimization via metric regularity of constraint systems, Mathematical Methods of Operations Research, 74 (2011), 409-425.
7. M. Durea, R. Strugariu, Existence conditions for generalized vector variational inequalities, Annals of Operations Research, 191 (2011), 255-262.
6. R. Strugariu, M.D. Voisei, C. Zălinescu, Counter-Examples in Bi-duality, Triality and Tri-duality, Discrete and Continuous Dynamical Systems – Series A, 31 (2011), 1453-1468.
5. M. Durea, R. Strugariu, Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization, Optimization Letters, 5 (2011), 141-151.
4. 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.
3. M. Durea, R. Strugariu, On some Fermat rules for set-valued optimization problems, Optimization, 60 (2011), 575-591.
2. M. Durea, R. Strugariu, Quantitative results on openness of set-valued mappings and implicit multifunction theorems, Pacific Journal of Optimization, 6 (2010), 533-549.
1. M. Durea, R. Strugariu, Some remarks on proximal point algorithm in scalar and vectorial cases, Nonlinear Functional Analysis and Applications, 2 (2010), 307-319.

Books

M. Durea, R. Strugariu, An Introduction to Nonlinear Optimization Theory, De Gruyter Open, 2014.

Chapters

M. Durea, E.-A. Florea, R. Strugariu, Efficiencies and optimality conditions in vector optimization with variable ordering structure, book chapter in Variational Analysis and Set Optimization: Developments and Applications in Decision Making, C Tammer, A. Khan, E. Köbis (Eds.), CRC Press (Taylor & Francis).