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Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus
R. Correa, A. Hantoute, M. A. López
The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of convex functions. These results are…
Subdifferential of the supremum function: Moving back and forth between continuous and non-continuous settings
Rafael Correa, Abderrahim Hantoute, Marco Antonio López
In this paper we develop general formulas for the subdifferential of the pointwise supremum of convex functions, which cover and unify both the compact continuous and the non-compa…
Coerciveness condition for quasi-equilibrium problems
John Cotrina, Abderrahim Hantoute, Anton Svensson
A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequ…
Characterizations of the subdifferential of convex integral functions under qualification conditions
Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros
This work provides formulae for the -subdifferential of integral functions in the framework of complete -finite measure spaces and locally convex spaces. In this work we pres…
Qualification conditions-free characterizations of the -subdifferential of convex integral functions
Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros
We provide formulae for the -subdifferential of the integral function where the integrand is measu…
Sequential and exact formulae for the subdifferential of nonconvex integral functionals
Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros
This work concerns the study of the subdifferential of the integral functional where is a (not necessarily convex) normal integrand, $({T},\m…