Geodesic
On exact penalties for constrained optimization problems in metric spaces
Eurasian mathematical journal, Tome 12 (2021) no. 4, pp. 10-20

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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. 
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     author = {A. V. Arutyunov and S. E. Zhukovskiy},
     title = {On exact penalties for constrained optimization problems in metric spaces},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a1/}
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A. V. Arutyunov; S. E. Zhukovskiy. On exact penalties for constrained optimization problems in metric spaces. Eurasian mathematical journal, Tome 12 (2021) no. 4, pp. 10-20. http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a1/