Minimization of vectors of curvilinear functionals on the second order jet bundle: sufficient efficiency conditions

• Published in: Optimization letters Vol. 6; no. 8; pp. 1657 - 1669
• Main Authors: Pitea, Ariana, Postolache, Mihai
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.12.2012
• Subjects: Computational Intelligence; Mathematics; Mathematics and Statistics; Numerical and Computational Physics; Operations Research/Decision Theory; Optimization; Original Paper; Simulation; 49J35; Multi-objective variational problem; Lagrange 1-form density; Quasiinvexity; Efficiency; 58E17
• ISSN: 1862-4472; 1862-4480
• DOI: 10.1007/s11590-011-0357-4

Strongly motivated by its possible applications in Mechanics, in our previous work (Pitea and Postolache (Optim. Lett. doi: 10.1007/s11590-010-0272-0 , 2011 )), we initiated an optimization theory for the second order jet bundle. We considered the problem of minimization of vectors of curvilinear fu...