caa a22 4500 463170008 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s10957-006-9160-2 doi (NATIONALLICENCE)springer-10.1007/s10957-006-9160-2 Convexification of Nonsmooth Monotone Functions1 [Elektronische Daten] [X. Sun, H. Luo, D. Li] We consider a convexification method for a class of nonsmooth monotone functions. Specifically, we prove that a semismooth monotone function can be converted into a convex function via certain convexification transformations. The results derived in this paper lay a theoretical base to extend the reach of convexification methods in monotone optimization to nonsmooth situations. Springer Science+Business Media, Inc., 2007 Global optimization nationallicence nonsmooth optimization nationallicence semismooth functions nationallicence convexification methods nationallicence Sun X. Department of Management Science, School of Management, Fudan University, 670 Guoshun Road, 200433, Shanghai, China aut Luo H. Department of Mathematics, Shanghai University, Baoshan, Shanghai, China aut Li D. Department of Systems Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/2(2007-02-01), 339-351 0022-3239 132:2<339 2007 132 10957 https://doi.org/10.1007/s10957-006-9160-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-006-9160-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sun X. Department of Management Science, School of Management, Fudan University, 670 Guoshun Road, 200433, Shanghai, China aut NATIONALLICENCE 700 1- Luo H. Department of Mathematics, Shanghai University, Baoshan, Shanghai, China aut NATIONALLICENCE 700 1- Li D. Department of Systems Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/2(2007-02-01), 339-351 0022-3239 132:2<339 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer