Open Access Research

Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras

Choonkil Park1, Golamreza Z Eskandani2, Hamid Vaezi2 and Dong Y Shin3*

Author Affiliations

1 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea

2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

3 Department of Mathematics, University of Seoul, Seoul 130-743, Korea

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Journal of Inequalities and Applications 2012, 2012:114 doi:10.1186/1029-242X-2012-114

Published: 24 May 2012

Abstract

Eskandani and Vaezi proved the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras associated with the following Pexiderized Jensen type functional equation

<a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/114/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/114/mathml/M1">View MathML</a>

by using direct method. Using fixed point method, we prove the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras. Moreover, we investigate the Pexiderized Jensen type functional inequality in proper Jordan CQ*-algebras.

Mathematics Subject Classification 2010: Primary, 17B40; 39B52; 47N50; 47L60; 46B03; 47H10.

Keywords:
Hyers-Ulam stability; proper Jordan CQ*-algebra; Jordan derivation; fixed point method