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STABILITY OF J*-DERIVATIONS
- Authors
- Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun
- Issue Date
- Aug-2012
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Hyers-Ulam stability; J*-algebra; generalized Jensen type functional equation
- Citation
- INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v.9, no.5
- Indexed
- SCIE
SCOPUS
- Volume
- 9
- Number
- 5
- ISSN
- 0219-8878
- Abstract
- Gordji et al. proved the Hyers-Ulam stability and the superstability of J*-derivations in J*-algebras for the generalized Jensen type functional equation rf (x + y/r) + rf (x - y/r) = 2f(x) by using direct method and by fixed point method. They only proved the theorems for the case r > 1. In this paper, we prove the Hyers-Ulam stability and the superstability of J*-derivations in J*-algebras for the case r not equal 0 of the above generalized Jensen type functional equation by using direct method and by fixed point method under slightly different conditions.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)