Year: 2013
Author: A-Li Yang, Lihua Cheng
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 289–296
Abstract
In this paper, we prove a generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on approximate ring homomorphism. We also obtain more general stability theorem, which gives stability theorems on Jordan and Lie homomorphisms. The proofs of the theorems in this paper are given following essentially the Hyers-Rassias approach to the stability of the functional equations connected with Ulam's problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-18992
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 289–296
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: stability functional equation Lie homomorphism.