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http://dx.doi.org/10.4134/BKMS.2009.46.1.045

STABILITY OF HOMOMORPHISMS AND DERIVATIONS IN PROPER JCQ*-TRIPLES ASSOCIATED TO THE PEXIDERIZED CAUCHY TYPE MAPPING  

Najati, Abbas (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCES UNIVERSITY OF MOHAGHEGH ARDABILI)
Eskandani, G. Zamani (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ)
Park, Choon-Kil (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.1, 2009 , pp. 45-60 More about this Journal
Abstract
In this paper, we investigate homomorphisms in proper $JCQ^*$-triples and derivations on proper $JCQ^*$-triples associated to the following Pexiderized functional equation $$f(x+y+z)=f_0(x)+f_1(y)+f_2(z)$$. This is applied to investigate homomorphisms and derivations in proper $JCQ^*$-triples.
Keywords
generalized Hyers-Ulam stability; proper $JCQ^*$-triples homomorphism; proper $JCQ^*$-triples derivation;
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