TY - JOUR
T1 - Convexification of nonsmooth monotone functions
AU - Sun, X. L.
AU - Luo, H. Z.
AU - Li, D.
PY - 2007/2
Y1 - 2007/2
N2 - 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.
AB - 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.
KW - Convexification methods
KW - Global optimization
KW - Nonsmooth optimization
KW - Semismooth functions
UR - http://www.scopus.com/inward/record.url?scp=34347207547&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34347207547&origin=recordpage
U2 - 10.1007/s10957-006-9160-2
DO - 10.1007/s10957-006-9160-2
M3 - RGC 21 - Publication in refereed journal
SN - 0022-3239
VL - 132
SP - 339
EP - 351
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 2
ER -