Normal Regularity of Weakly Convex Sets in Asymmetric Normed Spaces
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 737-758
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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.
Classification : 58C06, 58C20, 49J52
Mots-clés : Duality mapping, weakly convex set, Fréchet normal regular, proximally normal regular
@article{JCA_2018_25_3_JCA_2018_25_3_a1,
     author = {M. S. Lopushanski},
     title = {Normal {Regularity} of {Weakly} {Convex} {Sets} in {Asymmetric} {Normed} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {737--758},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a1/}
}
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M. S. Lopushanski. Normal Regularity of Weakly Convex Sets in Asymmetric Normed Spaces. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 737-758. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a1/