Nonconical optimality conditions: Some additional results |
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Authors: | G B Hazen T L Morin |
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Institution: | (1) Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois;(2) School of Industrial Engineering, Purdue University, West Lafayette, Indiana |
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Abstract: | The purpose of the present note is to provide a somewhat more flexible statement of the sufficiency conditions in Section 4 of Ref. 1 and to give explicit statements of the fundamental necessity and sufficiency results, which were only implicitly presented there. The additional flexibility is obtained by considering local, rather than global, pseudoconcavity requirements. |
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Keywords: | Multiple-objective optimization vector optimization existence theorems first-order optimality conditions normed linear spaces |
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