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MVT, Integration, and Monotonicity of a Generalized Subdifferential in Locally Convex Spaces
(Heldermann Verlag, 2020)
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 ...
Infimal convolution and optimal time control problem II: limiting subdifferential
(Springer, 2017)
This paper is the continuation of our study 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. We study several ...
Infimal convolution and optimal time control problem I: frechet and proximal subdifferentials
(Springer, 2018-09)
We consider a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. If the target function is the indicator function of a ...
Subdifferential characterization of probability functions under Gaussian distribution
(Springer Verlag, 2019)
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input ...
New tour on the subdifferential of supremum via finite sums and suprema
(Springer, 2021)
This paper provides new characterizations for the subdifferential of the pointwise supremum of an arbitrary family of convex functions. The main feature of our approach is that the normal cone to the effective domain of ...
Subdifferentiation of the Infimal Convolution and Minimal Time Problems
(Heldermann Verlag, 2020)
We investigate in the Banach setting (not necessarily reflexive) first-order variations of the infimal convolution of fairly general functions. We characterize different subdifferentials and differentiability concepts of ...
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions
(PERGAMON-ELSEVIER SCIENCE LTD, 2006-08-15)
Several kinds of behaviors of extended-real-valued lower semicontinuous functions are known to be equivalent to certain appropriate conditions in terms of the Clarke subdifferential. The paper provides a systematic study ...
On formulae for the Ioffe geometric subdifferential of a supremum function
(Heldermann Verlag, 2020)
We study the first order variational behavior of the supremum of an arbitrary family of lower semicontinuous functions over a weakly compactly generated beta-smooth Banach space. In this context, we present new upper-estimations ...
Subdifferential calculus rules for possibly nonconvex integral functions
(SIAM, 2020)
We are concerned with the subdifferentials of integral functionals and functions given in the form E-f(x)
= f(T) f (t, x)d mu, for a possibly nonconvex normal integrand f defined on a separable Banach with
separable dual ...