Parametric approach to multitime multiobjective fractional variational problems under (F,ρ)-convexity

• Published in: Optimal control applications & methods Vol. 37; no. 5; pp. 831 - 847
• Main Authors: Antczak, Tadeusz, Pitea, Ariana
• Format: Journal Article
• Language: English
• Published: Glasgow Blackwell Publishing Ltd 01.09.2016; Wiley Subscription Services, Inc
• Subjects: (F,ρ)‐convexity; duality; efficient solution; Functionals; Integrals; Mathematical programming; Multiple objective analysis; multitime multiobjective fractional variational problem; Optimal control; optimality; Optimization; parametric approach; Partial differential equations; Quotients; ρ)-convexity

Summary In this paper, we consider a multitime multiobjective fractional variational problem of minimizing a vector of quotients of path‐independent curvilinear integral functionals subject to certain partial differential equations and inequations. Using the so‐called parametric approach, we establi...