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Second-order necessary and sufficient conditions in multiobjective programming. (English) Zbl 0764.90076

Summary: We study second-order optimality conditions for the multiobjective programming problems with both inequality and equality constraints. Two weak second-order constraint qualifications are introduced, and based on them we derive several second-order necessary conditions for a local weakly efficient solution. Two second-order sufficient conditions are also presented.

MSC:

90C29 Multi-objective and goal programming
49K10 Optimality conditions for free problems in two or more independent variables
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