Sea $X$ un evtlc y $\Phi$ una función convexa, semicontinua inferior y propia en $X$. Dados $\lambda\in\R$ y $\delta\geq 0$, se prueba que para $\overline{x}\in S_\lambda:=[\Phi\leq\lambda]$ se cumple la fórmula ...

We obtain inner estimations, around special eigenvalues, for the eigenvalue set of a properly nonlinear closed convex process. We also consider a differential inclusion associated with a general closed convex process and ...

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 ...

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 ...

Bregman distances play a key role in generalized versions of the proximal algorithm. This paper proposes a new characterization of Bregman distances in terms of their gradient and Hessian matrix. Thanks to this characterization, ...

We give new characterizations for the subdifferential of the supremum of an arbitrary family of convex functions, dropping out the standard assumptions of compactness of the index set and upper semi-continuity of the ...

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 ...