143 research outputs found
Continuous essential selections and integral functionals
Given a strictly positive measure, we characterize inner semicontinuous solid
convex-valued mappings for which continuous functions which are selections
almost everywhere are selections. This class contains continuous mappings as
well as fully lower semicontinuous closed convex-valued mappings that arise in
variational analysis and optimization of integral functionals. The
characterization allows for extending existing results on convex conjugates of
integral functionals on continuous functions. We also give an application to
integral functionals on left continuous functions of bounded variation
Stochastic programs without duality gaps
This paper studies dynamic stochastic optimization problems parametrized by a
random variable. Such problems arise in many applications in operations
research and mathematical finance. We give sufficient conditions for the
existence of solutions and the absence of a duality gap. Our proof uses
extended dynamic programming equations, whose validity is established under new
relaxed conditions that generalize certain no-arbitrage conditions from
mathematical finance
- …