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Preda, Vasile

On efficiency and duality for multiobjective programs. (English) Zbl 0764.90074

J. Math. Anal. Appl. 166, No. 2, 365-377 (1992).
Summary: For a multiobjective nonlinear program which involved inequality and equality constraints, Wolfe, Mond-Weir, and general Mond-Weir type duals are formulated and the concept of efficiency (Pareto optimum) is used to state some duality results under generalized \((F,\rho)\)-convexity assumptions.

Cited in 1 Review
Cited in 116 Documents

MSC:

90C29 Multi-objective and goal programming
49N15 Duality theory (optimization)
90C26 Nonconvex programming, global optimization
26B25 Convexity of real functions of several variables, generalizations

Keywords:

multiobjective nonlinear program; inequality and equality constraints; efficiency; duality results
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\textit{V. Preda}, J. Math. Anal. Appl. 166, No. 2, 365--377 (1992; Zbl 0764.90074)
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References:

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