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# Erratum to: Optimality and duality theorems in nonsmooth multiobjective optimization

*Fixed Point Theory and Applications*
**volumeÂ 2012**, ArticleÂ number:Â 28 (2012)

We wish to indicate the following corrections to our original paper [1].

(1) The first sentence in Definition 2.2, we delete "*i*âˆˆ{1,2,Â·Â·Â·,*p*}".

(2) The first sentence in Definition 2.2, we replace

to

(3) The second sentence in Definition 2.3, we delete "*i*âˆˆ{1,2,Â·Â·Â·,*p*}".

(4) The second sentence in Definition 2.3, we replace

to

(5) The second sentence in Definition 2.4, we delete "*i*âˆˆ{1,2,Â·Â·Â·,*p*}".

(6) The second sentence in Definition 2.4, we replace

to

(7) The second sentence in the proof of Theorem 2.1, we replace. â€²â€² *c*_{
i
} > 0, *i* = 1, â‹¯,*p* â€²â€² to â€²â€² c\xe2\u02c6\u02c6int{R}_{+}^{p}â€²â€².

(8) The second sentence in the proof of Theorem 2.1, we replace

to

(9) In equation (3.8), we replace "*c*_{
i
}" to "*d*_{
i
}".

(10) The eighth sentence in the proof of Theorem 3.3, we replace "where *c* = *ae*," to "where *d* = *ae*".

(11) The ninth sentence in the proof of Theorem 3.3, we replace "*c* âˆˆ *int R*^{p}" to "*d*_{
i
} > 0, *i* = 1,Â·Â·Â·,*p*,".

(12) The ninth sentence in the proof of Theorem 3.3, we replace "*c*_{
i
}" to "*d*_{
i
}".

(13) The tenth sentence in the proof of Theorem 3.3, we replace "*c*_{
i
}" to "*d*_{
i
}".

(14) The tenth sentence in the proof of Theorem 3.3, we replace "*c*_{
i
}" to "*d*_{
i
}".

(15) In equation (4.8), we replace "*c*_{
i
}" to "*d*_{
i
}".

(16) The tenth sentence in the proof of Theorem 4.1, we replace "where *c* = *ae*," to "where *d* = *ae*".

(17) The eleventh sentence in the proof of Theorem 4.1, we replace "*c* âˆˆ *int R*^{p}" to "*d*_{
i
} > 0, *i* = 1,Â·Â·Â·, *p*,".

(18) The eleventh sentence in the proof of Theorem 4.1, we replace "*c*_{
i
}" to "*d*_{
i
}".

(19) The twelfth sentence in the proof of Theorem 4.1, we replace "*c* âˆˆ *int R*^{p}," to "*d*_{
i
} > 0, *i* = 1,Â·Â·Â·, *p*,".

(20) The twelfth sentence in the proof of Theorem 4.1, we replace "*c*_{
i
}" to "*d*_{
i
}".

(21) The twelfth sentence in the proof of Theorem 4.1, we replace "*i* = 1,Â·Â·Â·, *p*." to "*i* = 1,Â·Â·Â·,*p*,".

(22) The fourth sentence in the proof of Theorem 4.2, we replace "*c*_{
i
}" to "*c*".

(23) The fourth sentence in the proof of Theorem 4.2, we replace

to

## References

Bae , Kim : Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization.

*Fixed Point Theory and Applications*2011, 2011: 42. 10.1186/1687-1812-2011-42

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## Additional information

The online version of the original article can be found at 10.1186/1687-1812-2011-42

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**Open Access** This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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### Cite this article

Deok Bae, K., Kim, D.S. Erratum to: Optimality and duality theorems in nonsmooth multiobjective optimization.
*Fixed Point Theory Appl* **2012**, 28 (2012). https://doi.org/10.1186/1687-1812-2012-28

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DOI: https://doi.org/10.1186/1687-1812-2012-28