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Abstract
We consider duality mappings in asymmetric normed spaces and study their properties. We also prove the Fréchet normal regularity and the proximally normal regularity of weakly convex sets in asymmetric normed spaces.
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MS
Mariana S. Lopushanski
Department of Higher Mathematics, Moscow Institute of Physics and Technology, Institutski str. 9, Dolgoprudny -- Moscow region, Russia 141700