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On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C ∗-Ternary Algebras and Quasi-Banach Algebras

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Nonlinear Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 68))

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Abstract

In this paper, we prove the generalized Hyers–Ulam–Rassias stability of bi-quadratic bi-homomorphisms in C ∗-ternary algebras and quasi-Banach algebras. Moreover, we investigate stability of bi-quadratic bi-derivations on C ∗-ternary algebras and quasi-Banach algebras.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Urmia University, Urmia, Iran

    Ali Ebadian & Norouz Ghobadipour

  2. Department of Mathematics, Payame Noor University (PNU), Tehran, Iran

    Ali Ebadian

Authors
  1. Ali Ebadian
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  2. Norouz Ghobadipour
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Corresponding author

Correspondence to Ali Ebadian .

Editor information

Editors and Affiliations

  1. , Department of Industrial & Systems Engin, University of Florida, Weil Hall 401, Gainesville, 32611, Florida, USA

    Panos M. Pardalos

  2. Center for Applied Optimization, Dept. Industrial & Systems, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Pando G. Georgiev

  3. , Department of Mathematics & Statistics, University of Victoria, Finnerty Road 3800, Victoria, V8W 3R4, British Columbia, Canada

    Hari M. Srivastava

Additional information

Dedicated to Professor Themistocles M. Rassias on the occasion of his 60th birthday.

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Ebadian, A., Ghobadipour, N. (2012). On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C ∗-Ternary Algebras and Quasi-Banach Algebras. In: Pardalos, P., Georgiev, P., Srivastava, H. (eds) Nonlinear Analysis. Springer Optimization and Its Applications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3498-6_13

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