Abstract
In the paper, we analyze the necessary efficiency conditions for scalar, vectorial and vector fractional variational problems using curvilinear integrals as objectives and we establish sufficient conditions of efficiency to the above variational problems. The efficiency sufficient conditions use of notions of the geodesic invex set and of (strictly, monotonic) ( ρ , b)-geodesic quasiinvex functions.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference27 articles.
1. The Problem of Lagrange with Differentiable Inequality as Added Side Conditions;Valentine,1937
2. Duality for variational problems
3. Duality for variational problems with invexity
4. Sufficient optimality criteria and duality for variational problems with generalised invexity
5. On Mond-Weir duality for variational problems;Preda;Rev. Roum. Math. Pures Appl.,1993