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Weaker conditions for subdifferential calculus of convex functions
(Elsevier, 2016)
In this paper we establish new rules for the calculus of the subdifferential mapping of the sum of two convex functions. Our results are established under conditions which are at an intermediate level of generality among ...
Valadier-like formulas for the supremum function I
(Heldermann Verlag, 2018)
We generalize and improve the original characterization given by Valadier [18, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby ...
Integration formulas via the Fenchel subdifferential of nonconvex functions
(PERGAMON-ELSEVIER SCIENCE LTD, 2012-02)
Starting from explicit expressions for the subdifferential of the conjugate function, we establish in the Banach space setting some integration results for the so-called epi-pointed functions. These results use the ...
Infimal convolution and optimal time control problem III: minimal time projection set
(Siam Publications, 2018)
We continue the investigation of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. In this paper we obtain an explicit ...
Integration formulas via the fenchel subdifferential of nonconvex functions
(PERGAMON PRESS, 2012)
Integration formulas via the fenchel subdifferential of nonconvex functions
(PERGAMON PRESS, 2012)
On Brondsted-Rockafellar's Theorem for convex lower semicontinuous epi pointed functions in locally convex spaces
(Springer, 2018)
In this work we give an extension of the Brondsted-Rockafellar Theorem, and some of its important consequences, to proper convex lower-semicontinuous epi-pointed functions defined in locally convex spaces. We use a new ...
Valadier-like Formulas for the Supremum Function II: The compactly indexed case
(Heldermann Verlag, 2017)
Continuing with the work on the subdifferential of the pointwise supremum of
convex functions, started in Valadier-like formulas for the supremum function I [3],
we focus now on the compactly indexed case. We assume that ...
LOWER SEMICONTINUOUS CONVEX RELAXATION IN OPTIMIZATION
(Society for Industrial and Applied Mathematics, 2013)
We relate the argmin sets of a given function, not necessarily convex or lower semicontinuous,
and its lower semicontinuous convex hull by means of explicit characterizations involving
an appropriate concept of asymptotic ...