Browsing by Author "cefc3bc2f8a44ccb8858ffa3a1739580"
Now showing items 118 of 18

Hantoute, Abderrahim; Nguyen, Bao Tran (Springer, 2020)We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...

Characterizations of the subdifferential of convex integral functions under qualification conditions Correa, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro Antonio (Academic Press Inc., 2019)This work provides formulae for the εsubdifferential of integral functions in the framework of complete σfinite measure spaces and locally convex spaces. In this work we present here new formulae for this εsubdifferential ...

Cotrina, John; Hantoute, Abderrahim; Svensson Graan, Anton (Taylor & Francis, 2020)A quasiequilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasivariational inequalities and generalized Nash equilibrium ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; Salas Maldonado, David (Hekdermann, 2016)We extend the results of Correa, Garcia and Hantoute [6], dealing with the integration of nonconvex epipointed functions using the Fenchel subdifferential. In this line, we prove that the classical formula of Rockafellar ...

Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao (Academic Press Inc., 2018)We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...

Hantoute, Abderrahim; Vilches, Emilio (Springer, 2018)We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed ...

Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran (Springer, 2020)We give new criteria for weak and strong invariant closed sets for differential inclusions in Doublestruck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...

Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet (Academic PressElsevier, 2017)We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banach spaces. Instead of using the adjoint of such linear operators, as ...

Correa, Rafael; Hantoute, Abderrahim; LópezCerdá, Marco A. (Society for Industrial and Applied Mathematics Publications, 2019)We characterize the subdifferential of the supremum function of finitely and infinitely indexed families of convex functions. The main contribution of this paper consists of providing formulas for such a subdifferential ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro (Heldermann Verlag, 2020)

Adly, Samir; Hantoute, Abderrahim; Théra, Michel (Springer, 2016)The general theory of Lyapunov stability of firstorder differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 9851008, 2012). This new ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro Antonio (Springer, 2018)In this work we give an extension of the BrondstedRockafellar Theorem, and some of its important consequences, to proper convex lowersemicontinuous epipointed functions defined in locally convex spaces. We use a new ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro Antonio (SIAM, 2016)Using techniques of convex analysis, we provide a direct proof of a recent characterization of convexity given in the setting of Banach spaces in [J. Saint Raymond, J. Nonlinear Convex Anal., 14 (2013), pp. 253262]. Our ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro (SIAM, 2020)We are concerned with the subdifferentials of integral functionals and functions given in the form Ef(x) = f(T) f (t, x)d mu, for a possibly nonconvex normal integrand f defined on a separable Banach with separable dual ...

Hantoute, Abderrahim; Henrion, René; PérezAros, Pedro (Springer Verlag, 2019)© 2018, SpringerVerlag 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 ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; López, M. A. (Springer, 2020)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 semicontinuity of the ...

Hantoute, Abderrahim; Zakaryan, Taron (Heldermann Verlag, 2020)We investigate in the Banach setting (not necessarily reflexive) firstorder variations of the infimal convolution of fairly general functions. We characterize different subdifferentials and differentiability concepts of ...

Correa Fontecilla, Rafael; Hantoute, Abderrahim; López, M. A. (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 ...