Erratum | Open Access
De-ning Qu, Cao-zong Cheng, "Erratum to “Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications”", Abstract and Applied Analysis, vol. 2013, Article ID 262798, 1 page, 2013. https://doi.org/10.1155/2013/262798
Erratum to “Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications”
We found a mistake in Example 15 in the published paper after its publication. The corrected version is as follows.
Example 15. Let , , and , and let , for all , and , for all .
(1) Define Evidently, is not usc on . After simply calculating, is not usc on due to the fact that is not closed.
(2) Consider the following mapping: Obviously, is not lsc on . Also, fails to be lsc on , where
Furthermore, the following misprints should be noted.
With regard to the conceptions of -closeness and -bounded, in page 1, the correct text should be: is called -closed  if is closed and -bounded  if for each neighborhood of zero in , there exists such that .
In page 2, left, line 5, the correct text should be: “Incidentally, every TVS such that any singleton is closed is Hausdorff (see ).”
In page 2, right, line −18, the correct text should be: “From now on, unless otherwise specified, let , and be Hausdorff real TVSs and …"
Copyright © 2013 De-ning Qu and Cao-zong Cheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.