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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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