Geodesic
On Nearly Subadditive Maps
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 93-96 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2016},
     volume = {50},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a10/}
}
TY  - JOUR
AU  - E. V. Shul'man
TI  - On Nearly Subadditive Maps
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2016
SP  - 93
EP  - 96
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a10/
LA  - ru
ID  - FAA_2016_50_1_a10
ER  - 
%0 Journal Article
%A E. V. Shul'man
%T On Nearly Subadditive Maps
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2016
%P 93-96
%V 50
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a10/
%G ru
%F 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/

[1] D. H. Hyers, Proc. Nat. Acad. Sci. USA, 27 (1941), 222–224 | DOI | MR

[2] D. H. Hyers, G. Isac, T. M. Rassias, Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and their Applications, 34, Birkhauser, Boston, MA, 1998 | MR | Zbl

[3] E. Shulman, J. Funct. Anal., 263:5 (2012), 1468–1484 | DOI | MR | Zbl