Abstract
In this chapter we introduce new conjugate vector dual problems to the primal problems treated in the previous chapter in case their objective functions have finite dimensional image spaces. Weak, strong and converse duality assertions are proven and these duals are compared with the ones introduced in chapter 4. Note that the properly efficient solutions considered in this chapter are in the sense of linear scalarization.
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© 2009 Springer-Verlag Berlin Heidelberg
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Boţ, R.I., Grad, SM., Wanka, G. (2009). Conjugate duality for vector optimization problems with finite dimensional image spaces. In: Duality in Vector Optimization. Vector Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02886-1_5
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DOI: https://doi.org/10.1007/978-3-642-02886-1_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02885-4
Online ISBN: 978-3-642-02886-1
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