## Efficiency and generalized convex duality for multiobjective programs.(English)Zbl 0686.90039

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.
Reviewer: G.Chen

### MSC:

 90C31 Sensitivity, stability, parametric optimization 49N15 Duality theory (optimization)
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### References:

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