On efficiency, proper efficiency and duality in multiobjective programming

On efficiency, proper efficiency and duality in multiobjective programming

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Article ID: iaor19941936
Country: Singapore
Volume: 7
Issue: 1
Start Page Number: 46
End Page Number: 54
Publication Date: May 1990
Journal: Asia-Pacific Journal of Operational Research
Authors:
Keywords: duality
Abstract:

By considering a certain set of inequalities, necessary optimality conditions are derived for a multiobjective programming problem. The necessary conditions are shown also to be sufficient under generalized convexity hypotheses. Relationships between efficient and proper efficient points are derived as well as weak, strong and converse duality theorems.

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