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Egudo, Richard R

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

J. Math. Anal. Appl. 138, No. 1, 84-94 (1989).
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

Cited in 1 Review
Cited in 45 Documents

MSC:

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

Keywords:

efficiency; multiobjective nonlinear program; pseudoconvex functions
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\textit{R. R Egudo}, J. Math. Anal. Appl. 138, No. 1, 84--94 (1989; Zbl 0686.90039)
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References:

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