Abstract of a paper by Assadi, Hadi Haghshenas, and Hosseini Guive
This is an announcement for the paper "Convexity of Chebyshev sets through differentiability of distance function" by Assadi, Hadi Haghshenas, and Hosseini Guive. Abstract: The aim of this paper is to present some equivalent conditions that ensure the convexity of a Chebyshev set. To do so, we use Gateaux differentiability of the distance function Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 4 pages The source file(s), CONVEXITYOFCEBYSEVSETSTHROUGHDIFFERENTIABILITYOFDISTANCEFUNCTION.tex: 10884 bytes, is(are) stored in gzipped form as 0810.0587.gz with size 4kb. The corresponding postcript file has gzipped size 41kb. Submitted from: h_haghshenas60@yahoo.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0810.0587 or http://arXiv.org/abs/0810.0587 or by email in unzipped form by transmitting an empty message with subject line uget 0810.0587 or in gzipped form by using subject line get 0810.0587 to: math@arXiv.org.
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