Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 20 (2013), No. 1, 221--231
Copyright Heldermann Verlag 2013

Characterizations of Pointwise Additivity of Subdifferential

Teodor Precupanu
Dept. of Mathematics, University "Al. I. Cuza", Bd. Carol 11, 700506 Iasi, Romania

We prove that the additivity of subdifferential in a given point of a locally convex space X is equivalent to other important optimality properties of an associated family of optimization problems. As a consequence, the subdifferential additivity is characterized by a dual closedness condition in X* × R, where R are the reals, endowed with the weak-star topology. Also, some special cases in which this closedness condition can be given in X* are presented.

Keywords: Lower-semicontinuous function, conjugate function, subdifferential, additivity of subdifferential, convolution, normal cone.

MSC: 46N10, 26E15, 49J52, 52A41

[ Fulltext-pdf  (126  KB)] for subscribers only.