TY - JOUR
AU1 - Garrido, Juan Guillermo
AU2 - Pérez-Aros, Pedro
AU3 - Vilches, Emilio
AB - Under mild assumptions, we prove that any random multifunction can be represented as the set of minimizers of an infinitely many differentiable normal integrand, which preserves the convexity of the random multifunction. This result is an extended random version of work done by Azagra and Ferrera (Proc Am Math Soc 130(12):3687–3692, 2002). We provide several applications of this result to the approximation of random multifunctions and integrands. The paper ends with a characterization of the set of integrable selections of a measurable multifunction as the set of minimizers of an infinitely many differentiable integral function.
TI - Random Multifunctions as Set Minimizers of Infinitely Many Differentiable Random Functions
JF - Journal of Optimization Theory and Applications
DO - 10.1007/s10957-023-02240-1
DA - 2023-07-01
UR - https://www.deepdyve.com/lp/springer-journals/random-multifunctions-as-set-minimizers-of-infinitely-many-IZnRs6wBND
SP - 86
EP - 110
VL - 198
IS - 1
DP - DeepDyve
ER -