Title :
Differentiability of metrically convex functions
Author :
Lin Guo-Chen ; Chen Xiao-yun
Author_Institution :
Dept. of Math. & Phys., Xiamen Univ. of Technol., Xiamen, China
Abstract :
Location problems are of great use. People carry on them by metrically convex functions. In the paper we study non-discrete spaces such as computer network. We obtain a conclusion similar to Theorem Brondsted-Rockafellar and the characterization of metrically convex functions by introducing d-subdifferential.
Keywords :
convex programming; functions; computer network; d-subdifferential; differentiability; metrically convex functions; nondiscrete spaces; theorem Brondsted-Rockafellar; Computer networks; Convex functions; Extraterrestrial measurements; Physics; d-subdifferential; metrically convex function; metrically convex metric space;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777897
