Multiobjective program with support functions under (G, C, ρ)-convexity assumptions

This paper deals with multiobjective programming problems with support functions under (G, C, ρ)-convexity assumptions. Not only sufficient but also necessary optimality conditions for this kind of multiobjective programming problems are established from a viewpoint of (G, C, ρ)-convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for general Mond-Weir type dual program.

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