Annales Mathematiques Africaines

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On the duality for the sup of two convex functions

Moussa Barro
Polytechnic University of Bobo Dioulasso (Burkina faso), UFR-ST

Ali Ouédrago and Sado Traoré
University of Avignon (France), LMA

Mathematics Subject Classification: (MSC 2010) 49N15
Key words : Perturbational duality, convex conjugate, pointwise maximum of two convex functions, zero duality gap


In this paper, we extend some qualification conditions in general topological vector space (t.v.s) for the perturbational duality relative to the concept of stability. As an illustration, we apply some of our results to the particular function of the sup of two proper convex functions.

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