Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals

Abstract

In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of ( normal) geodesic efficient solution, under ( p; b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.

Keywords

• multiobjective fractional control problem
• geodesic efficient solution
• (p; b)-geodesic quasiinvexity