TY - JOUR
T1 - A simplified conjugation scheme for lower semi-continuous functions
AU - Elias, Leonardo M.
AU - Martínez-Legaz, Juan E.
PY - 2016/4/2
Y1 - 2016/4/2
N2 - © 2015 Taylor & Francis. We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.
AB - © 2015 Taylor & Francis. We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.
KW - generalized convex conjugation
KW - lower semi-continuous function
KW - optimization duality theory
UR - https://www.scopus.com/pages/publications/84957838594
U2 - 10.1080/02331934.2015.1080700
DO - 10.1080/02331934.2015.1080700
M3 - Article
SN - 0233-1934
VL - 65
SP - 751
EP - 763
JO - Optimization
JF - Optimization
IS - 4
ER -