On Nearly Subadditive Maps
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 93-96
Voir la notice de l'article provenant de la source Math-Net.Ru
Several results on stability in spirit of Ulam and Hyers are obtained for classes of maps from groups to lattices satisfying the subadditivity condition
$$
F(gh) \subset F(g)\cup F(h) \quad \text{for all }\ g,h \in G.
$$
Keywords:
subadditive set-valued maps on groups, addition theorems, stability problems.
@article{FAA_2016_50_1_a10,
author = {E. V. Shul'man},
title = {On {Nearly} {Subadditive} {Maps}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {93--96},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a10/}
}
E. V. Shul'man. On Nearly Subadditive Maps. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 93-96. http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a10/