Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem

Year 2018, Volume: 1 Issue: 1, 1 - 13, 01.08.2018

Savin Treanta

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).

Keywords

efficient solution; generalized quasiinvexity.

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