Functional Analysis and Its Applications

, Volume 50, Issue 1, pp 80–82 | Cite as

On Nearly Subadditive Maps

Brief Communications


Several results on stability in spirit of Ulam and Hyers are obtained for classes of maps from groups to lattices satisfying the subadditivity condition
$$F\left( {gh} \right) \subset F\left( g \right) \cup F\left( h \right){\kern 1pt} \;for\;g,h \in G$$

Key words

subadditive set-valued maps on groups addition theorems stability problems 


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    D. H. Hyers, G. Isac, and T. M. Rassias, Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and their Applications, vol. 34, Birkhäuser, Boston, MA, 1998.CrossRefMATHGoogle Scholar
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    E. Shulman, J. Funct. Anal., 263:5 (2012), 1468–1484.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Vologda State UniversityVolgogradRussia

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