Titlul complet al propunerii

  Echipa de cercetare

  Obiective

  Rezultate preconizate

  Publicatii

• 11 STIINTE DE BAZA: Matematica

1.2 Rezumat

Tematica acestui proiect este legata de studiul problemelor de optimizare vectoriala multivoca, ce apartine domeniului mai vast al analizei variationale neliniare, cu multiple aplicatii atat din punct de vedere teoretic, cat si practic. Ne propunem sa studiem proprietati de regularitate generalizata si optimalitate pentru multifunctii cu aplicatii in investigarea problemelor de echilibru vectorial si a eficientei Pareto cu ordine variabila. Pentru acesta avem in vedere studiul mai multor metode variationale in optimizarea vectoriala care, pe de o parte, vor conduce la extensii ale unor rezultate foarte importante (cum ar fi Principiului Variational Ekeland) pentru multifunctii si relatii de ordine variabila iar, pe de alta parte vor oferi noi instrumente de investigatie pentru probleme generalizate de optimizare vectoriala. Astfel, aceste rezultate vor fi apoi aplicate la studiul problemelor de optimizare vectoriala cu restrictii date de ecuatii cu derivate partiale, ce modeleaza o multitudine de situatii cu caracter practic din inginerie, medicina, economie si stiintele comportamentale.

• (1) Regularitate generalizata si optimalitate pentru multifunctii
  • (1.1) Studiul proprietatilor de regularitate generalizata pentru multifunctii
  • (1.2) Conditii de optimalitate in probleme de echilibru si de optimizare Pareto cu ordine variabila
• (2) Metode variationale in optimizarea vectoriala si aplicatii
  • (2.1) Extensii ale Principiului Variational Ekeland pentru multifunctii si relatii de ordine variabila
  • (2.2) Aplicatii la studiul problemelor de optimizare vectoriala cu restrictii date de ecuatii cu derivate partiale

4. REZULTATE PRECONIZATE

• Etapa I (2015) - o lucrare stiintifica
• Etapa a II-a (2016) - doua lucrari stiintifice
• Etapa a III-a (2017) - doua lucrari stiintifice

• 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, ISI, Factor de Impact 2014 - 1.624, Scor Relativ de Influenta 2015 - 1.978.


• E.-A. Florea, Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure, Optimization, 65 (2016), 1417-1435, ISI, Factor de Impact 2015 - 0.822, Scor Relativ de Influenta 2016 - 0.787.


• M. Durea, R. Strugariu, Generalized penalization and maximization of vectorial nonsmooth functions, Optimization, 66 (2017), 903-915, ISI, Factor de Impact 2016 - 0.943, Scor Relativ de Influenta 2017 - 0.971.


• 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, ISI, Factor de Impact 2016 - 2.765, Scor Relativ de Influenta 2017 - 4.284.


• M. Durea, R. Strugariu, Vectorial penalization for generalized functional constrained problems, Journal of Global Optimization, 68 (2017), 899-923, ISI, Factor de Impact 2016 - 1.733, Scor Relativ de Influenta 2017- 1.372.


• 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, online first, DOI: 10.1007/s10957-016-1059-y, ISI, Factor de Impact 2016 - 1.289, Scor Relativ de Influenta 2017 - 1.423.


• M.-D. Burlica, A. Paicu, D. Rosu, Compact + Lipschitz perturbations of generators of weakly equicontinuous semigroups subjected to nonlocal initial conditions, manuscris gata de trimitere spre publicare.

• "International Conference on Pure and Applied Mathematics", Iasi, Romania, 6-8 noiembrie 2015
          M. Durea, Penalization and Metric Regularity in Vector Optimization
          M. Pantiruc, Minimal time function with respect to a set of directions
  


• "28th European Conference on Operational Research", Poznan, Polonia, 3-6 iulie 2016
          M. Durea, Penalization Techniques and Optimality Conditions in Vector Optimization
          M. Pantiruc, Minimal Time Function with Respect to a Set of Directions
          E.-A. Florea, Optimality Conditions for Sharp and Robust Efficiencies in Vector Optimization with Variable Ordering Structure
  


• "The fifth International Conference on Continuous Optimization", Tokyo, Japonia, 6-11 august 2016
          M. Durea, Minimal Time Function with Respect to a Set of Directions and Applications
  


• "XIII-eme Colloque Franco-Roumain de Mathématiques Appliquées", Iasi, Romania, 25-29 august 2016
          M. Durea, Regularities and subregularities with respect to fixed sets and applications
  


• "Workshop on Variational Analysis, Equilibria and Optimization", Pisa, Italia, 29-30 mai 2017
          M. Durea, Directional approach to regularity of mappings and applications to optimization
  


• "Workshop on Variational Analysis, Equilibria and Optimization", Pisa, Italia, 29-30 mai 2017
          R. Strugariu, Composition set-valued mappings: metric (sub)regularity and fixed points
  

• E.-A. Florea: participare la "International Summer School on Set Optimization for Applications ", Bozen, Italia, 21 iunie - 01 iulie 2017


• Seminarul de Optimizare si Control Optimal, Facultatea de Matematica, Universitatea "Al. I. Cuza", Iasi, intalniri periodice.