Title : ( Generalized Hyers--Ulam stability of mappings on normed Lie triple systems )
Authors: Mohammad Sal Moslehian , Th. M. Rassias ,
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Abstract
We prove the generalized Hyers–Ulam stability of mappings on normed spaces for the Pexiderized Cauchy–Jensen additive mapping f x + y 2 + z+ gx − y 2 − z = h(x). Then we apply the results for investigating the stability of homomorphisms and derivations on normed Lie triple systems.
Keywords
Pexiderized Cauchy–Jensen additive mapping; normed Lie system; homomorphism; derivation; generalized Hyers–Ulam stability.
@article{paperid:1007168,
author = {Sal Moslehian, Mohammad and Th. M. Rassias},
title = {Generalized Hyers--Ulam stability of mappings on normed Lie triple systems},
journal = {Mathematical Inequalities and Applications},
year = {2008},
volume = {11},
number = {2},
month = {January},
issn = {1331-4343},
pages = {371--380},
numpages = {9},
keywords = {Pexiderized Cauchy–Jensen additive mapping; normed Lie system; homomorphism;
derivation; generalized Hyers–Ulam stability.},
}
%0 Journal Article
%T Generalized Hyers--Ulam stability of mappings on normed Lie triple systems
%A Sal Moslehian, Mohammad
%A Th. M. Rassias
%J Mathematical Inequalities and Applications
%@ 1331-4343
%D 2008
