On Exact Penalties for Constrained Optimization Problems in Metric Spaces
Aram Vladimirovich Arutyunov, Sergey Evgenyevich Zhukovskiy · Eurasian Mathematical Journal · 2021
The problem of minimization of Lipschitz continuous functions over the set of coincidence points of mappings between metric spaces is considered. It is shown that under the assumptions of the known coincidence point theorems, the problem under consideration possesses the exact penalty property. For proving this fact, we obtain a modification of the exact penalization theorem.