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math.OC2013
Duality in convex problems of Bolza over functions of bounded variation
Teemu Pennanen, Ari-Pekka Perkkiö
This paper studies convex problems of Bolza in the conjugate duality framework of Rockafellar. We parameterize the problem by a general Borel measure which has direct economic inte…
math.OC2013
Continuous essential selections and integral functionals
Ari-Pekka Perkkiö
Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selec…