Approximate ð ‘› -Lie Homomorphisms and Jordan ð ‘› -Lie Homomorphisms on ð ‘› -Lie Algebras

M. Eshaghi Gordji and G. H. Kim

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

Using fixed point methods, we establish the stability of 𠑛 -Lie homomorphisms and Jordan 𠑛 -Lie homomorphisms on 𠑛 -Lie algebras associated to the following generalized Jensen functional equation ∑ 𠜇 𠑓 ( 𠑛 𠑖 = 1 𠑥 𠑖 ∑ / 𠑛 ) + 𠜇 𠑛 𠑗 = 2 ∑ 𠑓 ( 𠑛 𠑖 = 1 , 𠑖 ≠𠑗 𠑥 𠑖 − ( 𠑛 − 1 ) 𠑥 𠑗 / 𠑛 ) = 𠑓 ( 𠜇 𠑥 1 ) ( 𠑛 ≥ 2 ) .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:279632

DOI: 10.1155/2012/279632

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