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

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.

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
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References:

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