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Brief communications

On Nearly Subadditive Maps

E. V. Shul'man

Vologda State University

Abstract: 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.

UDC: 517.9

Received: 31.10.2014

DOI: 10.4213/faa3217

 English version: Functional Analysis and Its Applications, 2016, 50:1, 80–82

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