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Duality in vector optimization in Banach spaces with generalized convexity. (English) Zbl 1119.90049

In this paper, nonconvex vector optimization is considered in Banach spaces. Under type-I invexity assumptions sufficient optimality conditions for weak Pareto optimality are provided and weak and strong duality results for a nondifferentiable dual are formulated.

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming
49K27 Optimality conditions for problems in abstract spaces
90C48 Programming in abstract spaces
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