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arXiv · 1804.10705

Characterizations of the subdifferential of convex integral functions under qualification conditions

Rafael Correa·Abderrahim Hantoute·Pedro Pérez-Aros
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Abstract

This work provides formulae for the $\epsilon$-subdifferential of integral functions in the framework of complete $\sigma$-finite measure spaces and locally convex spaces. In this work we present here new formulae for this $\epsilon$-subdifferential under the presence of continuity-type qualification conditions relying on the data involved in the integrand. the integral function $I_f$ are also presented.

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Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros. 2018-04-27. Characterizations of the subdifferential of convex integral functions under qualification conditions. https://arxiv.org/abs/1804.10705

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