TY - JOUR
T1 - Characterization of Lipschitz Continuous Difference of Convex Functions
AU - Hantoute, A.
AU - Martínez-Legaz, J. E.
PY - 2013/12/1
Y1 - 2013/12/1
N2 - We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. © 2013 Springer Science+Business Media New York.
AB - We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. © 2013 Springer Science+Business Media New York.
KW - ε-subdifferential
KW - DC functions
KW - Integration formulas
KW - Lipschitz continuity
UR - https://www.scopus.com/pages/publications/84887317920
U2 - 10.1007/s10957-013-0291-y
DO - 10.1007/s10957-013-0291-y
M3 - Article
SN - 0022-3239
VL - 159
SP - 673
EP - 680
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -