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Erratum to: Optimality and duality theorems in nonsmooth multiobjective optimization
Fixed Point Theory and Applications volume 2012, Article number: 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∈{1,2,···,p}".
(2) The first sentence in Definition 2.2, we replace
to
(3) The second sentence in Definition 2.3, we delete "i∈{1,2,···,p}".
(4) The second sentence in Definition 2.3, we replace
to
(5) The second sentence in Definition 2.4, we delete "i∈{1,2,···,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. ′′ c i > 0, i = 1, ⋯,p ′′ to ′′ ′′.
(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 ∈ int Rp" to "d i > 0, i = 1,···,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 ∈ int Rp" to "d i > 0, i = 1,···, 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 ∈ int Rp," to "d i > 0, i = 1,···, 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,···, p." to "i = 1,···,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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The online version of the original article can be found at 10.1186/1687-1812-2011-42
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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