Vector maximisation and lagrange multipliers |
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Authors: | Douglas J White |
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Institution: | (1) Manchester University, Manchester, UK |
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Abstract: | The Lagrangean function for scalar constrained optimisation problems is extended in a directly analogous manner to constrained
vector optimisation problems. Some simple saddle point results are presented for vector maxima sets. Conditions are given
for the characterisation of the vector maximum set of the original vector problem in terms of the vector maximum sets with
respect to the vector Lagrangeans.
Finally some attention is given to Lagrangean relaxation for vector optimisation problems as an extension of a result of Everett. |
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Keywords: | Vector maximusation Lagrange Multipliers Duality Saddle Poins Lagrangen Relaxation |
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