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Original Articles

ON APPROXIMATE MINIMA IN VECTOR OPTIMIZATION

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Pages 845-859 | Published online: 17 Aug 2006
 

Abstract

Necessary and sufficient conditions are obtained for the existence of approximate minima in vector optimization problems. The notion of approximate saddle point is introduced and the relation between approximate saddle points and the approximate minima are established.

ACKNOWLEDGMENTS

The authors are grateful to Professor A. M. Rubinov for his helpful comments which have vastly improved the first draft of the paper. The authors are also grateful to Professor Ivan Singer for his helpful suggestions to improve the second version of the paper. One of the authors (J. Dutta) is grateful to the Spanish Ministry of Education and Culture (Grant No SB99-B0771103B) for financial support during the period which the revision of the first draft was carried out. J. Dutta also thanks CODE, UAB, of Spain.

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