no code implementations • 16 Feb 2021 • Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran, Christiane Tammer
This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.
Optimization and Control 49J53, 90C29, 92G99
no code implementations • 21 Dec 2020 • Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-constrained control actions entering both polyhedral moving sets and additive perturbations.
Optimization and Control 49J52, 49J53, 49K24, 49M25
no code implementations • 26 Sep 2020 • Boris S. Mordukhovich, Pedro Pérez-Aros
Motivated by applications to stochastic programming, we introduce and study the expected-integral functionals, which are mappings given in an integral form depending on two variables, the first a finite dimensional decision vector and the second one an integrable function.
Optimization and Control Primary: 49J53, 90C15 and Secondary: 49J52
