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
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http://front.math.ucdavis.edu/0810.0587
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http://arXiv.org/abs/0810.0587
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