Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem

Abstract

This paper presents a study on sufficient efficiency conditions for a class of multidimensional vector ratio optimization problems, identified by (MFP), of minimizing a vector of path-independent curvilinear integral functionals quotients subject to PDE and/or PDI constraints involving higher-order partial derivatives. Under generalized (\rho, b)-quasiinvexity assumptions, sufficient conditions of efficiency are formulated for a feasible solution in (MFP).