This is an announcement for the paper "Convexity of Chebyshev sets in Hilbert spaces" by Hadi Haghshenas. Abstract: The aim of this paper is state of conditions that ensure the convexity of a Chebyshev sets in Hilbert spaces . Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 4 Pages The source file(s), CONVEXITYOFCEBYSEVSETSINHILBERTSPACES.tex: 8784 bytes, is(are) stored in gzipped form as 0810.0772.gz with size 3kb. The corresponding postcript file has gzipped size 36kb. Submitted from: h_haghshenas60@yahoo.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0810.0772 or http://arXiv.org/abs/0810.0772 or by email in unzipped form by transmitting an empty message with subject line uget 0810.0772 or in gzipped form by using subject line get 0810.0772 to: math@arXiv.org.