This is an announcement for the paper "Orthogonal constant mappings in isosceles orthogonal spaces" by M. Mirzavaziri and M. S. Moslehian. Abstract: In this paper we introduce the notion of orthogonally constant mapping in an isosceles orthogonal space and establish stability of orthogonally constant mappings. As an application, we discuss the orthogonal stability of the Pexiderized quadratic equation $f(x+y)+g(x+y)=h(x)+k(y)$. Archive classification: Classical Analysis and ODEs; Functional Analysis Mathematics Subject Classification: 39B55; 39B82; 39B52 Remarks: 7 pages, to appear in Kragujevac Math. J The source file(s), OrtCons_final.tex: 15092 bytes, is(are) stored in gzipped form as 0604463.gz with size 5kb. The corresponding postcript file has gzipped size 40kb. Submitted from: moslehian@ferdowsi.um.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.CA/0604463 or http://arXiv.org/abs/math.CA/0604463 or by email in unzipped form by transmitting an empty message with subject line uget 0604463 or in gzipped form by using subject line get 0604463 to: math@arXiv.org.