Browsing by Author "7638cf19-e3b7-42d8-a2a1-d638798ca140"
Now showing items 1-7 of 7
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Pérez Aros, Pedro Antonio; Salas Videla, David; Vilches, Emilio (Springer, 2020)We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded from below, for which the norm of their minimal subgradients coincide, they coincide up to a constant. Moreover, under ...
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Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro (Heldermann Verlag, 2020)
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Correa Fontecilla, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro Antonio (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 ...
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Pérez Aros, Pedro; Salas, David; Vilches, Emilio (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 ...
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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. 253-262]. Our ...
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Pérez Aros, Pedro Antonio (Universidad de Chile, 2018)La investigación de esta tesis es presentada en seis capítulos, desde el Capítulo 2 al Capítulo 7. El capítulo 2 proporciona una demostración directa de una caracterización reciente de convexidad dada en el marco de ...
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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 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 ...