This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).This article has been retracted at the request of the Editor-in-Chief.The authors have duplicated part of a paper that had already appeared in Computers and Mathematics with Applications,60/5 (2010) 1245–1258. One of the conditions of submission of a paper for publication is that authors declare explicitly that their work is original and has not appeared in a publication elsewhere. Re-use of any data should be appropriately cited. As such this article represents a severe abuse of the scientific publishing system. The scientific community takes a very strong view on this matter and apologies are offered to readers of the journal that this was not detected during the submission process.Bibliographical details of theduplicated article:Article title: Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted meansJournal Title: Computers and Mathematics with ApplicationsVolume/Issue Number: 60/5Pages from 1245 to 1258DOI: http://dx.doi.org/10.1016/j.camwa.2010.06.005.