APPROXIMATE LIE *-DERIVATIONS ON <i>ρ</i>-COMPLETE CONVEX MODULAR ALGEBRAS

Hark-Mahn Kim; wan-Yong Shin

doi:10.11948/2156-907X.20180166

2019 Volume 9 Issue 2

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Hark-Mahn Kim, wan-Yong Shin. APPROXIMATE LIE *-DERIVATIONS ON ρ-COMPLETE CONVEX MODULAR ALGEBRAS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 765-776. doi: 10.11948/2156-907X.20180166

Citation:

Hark-Mahn Kim, wan-Yong Shin. APPROXIMATE LIE *-DERIVATIONS ON ρ-COMPLETE CONVEX MODULAR ALGEBRAS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 765-776. doi: 10.11948/2156-907X.20180166

APPROXIMATE LIE *-DERIVATIONS ON ρ-COMPLETE CONVEX MODULAR ALGEBRAS

Hark-Mahn Kim¹,
wan-Yong Shin^1, ,

1.
Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea

Corresponding author: Email address:hyshin31@cnu.ac.kr(H.-Y. Shin)
Fund Project: The authors were supported by National Research Foundation of Korea(NRF) funded by the Ministry of Education (2016R1D1A3B03930971)

Abstract

Abstract

In this paper, we obtain generalized Hyers–Ulam stability results of a $ (m,n) $-Cauchy-Jensen functional equation associated with approximate Lie $ * $-derivations on $ \rho $-complete convex modular $ * $-algebras $ \chi_\rho $ with $ \Delta_\mu $-condition on the convex modular $ \rho. $
- Modular *-algebra /
- convex modular /
- ∆_μ-condition /
- (m, n)-CauchyJensen mapping /
- Lie *-derivation
MSC: 39B52, 39B74, 47H09

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References

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