Efficiency and generalized convex duality for multiobjective programs (Q1262822)

The author discusses duality relationships between the multiobjective nonlinear program Min f(x), subject to g(x)\(\geq 0\), and the two dual multiobjective programs, i.e. Wolfe's vector dual and Mond-Weir's vector dual. The results are obtained for convex functions, \(\rho\)-convex functions, and pseudoconvex functions. For the convex and \(\rho\)-convex functions a Wolfe type dual is formulated, while for the pseudoconvex and \(\rho\)-convex functions, a Mond-Weir type dual is proposed.