Open Access Research

Almost partial generalized Jordan derivations: a fixed point approach

Madjid E Gordji1, Choonkil Park2 and Jung R Lee3*

Author Affiliations

1 Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

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

3 Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea

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Journal of Inequalities and Applications 2012, 2012:119 doi:10.1186/1029-242X-2012-119

Published: 29 May 2012

Abstract

Using fixed point method, we investigate the Hyers-Ulam stability and the superstability of partial generalized Jordan derivations on Banach modules related to Jensen type functional equations.

Mathematics Subject Classification 2010: Primary, 39B52; 47H10; 47B47; 13N15; 39B72; 17C50; 39B82; 17C65.

Keywords:
Hyers-Ulam stability; superstability; partial Jordan derivation; partial generalized Jordan derivation; Jensen type functional equation