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Higher Ring Derivation and Intuitionistic Fuzzy Stability

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  • Ick-Soon Chang

Abstract

We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. In addition, we deal with the superstability of higher ring derivation in intuitionistic fuzzy Banach algebra with unit.

Suggested Citation

  • Ick-Soon Chang, 2012. "Higher Ring Derivation and Intuitionistic Fuzzy Stability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:503671
    DOI: 10.1155/2012/503671
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    References listed on IDEAS

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    1. Mohiuddine, S.A., 2009. "Stability of Jensen functional equation in intuitionistic fuzzy normed space," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2989-2996.
    2. M. Mursaleen & V. Karakaya & S. A. Mohiuddine, 2010. "Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    3. Mursaleen, M. & Mohiuddine, S.A., 2009. "Statistical convergence of double sequences in intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2414-2421.
    4. Mursaleen, M. & Mohiuddine, S.A., 2009. "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2997-3005.
    5. M. Mursaleen & V. Karakaya & S. A. Mohiuddine, 2010. "Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-14, January.
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    Cited by:

    1. Jaiok Roh & Ick-Soon Chang, 2015. "Approximate Derivations with the Radical Ranges of Noncommutative Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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