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Stability for a family of equations generalizing the equation of p-Wright affine functions

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  • Brzdȩk, Janusz
  • Cădariu, Liviu

Abstract

We prove some general stability results for a family of equations, which generalizes the equation of p-Wright affine functions. In this way we obtain some hyperstability properties for those equations, as well. We also provide some applications of those outcomes in proving inequalities characterizing the inner product spaces and stability of *-homomorphisms of C*-algebras. The main tool in the proofs is a fixed point result in Brzdȩk, Chudziak, Páles (2011).

Suggested Citation

  • Brzdȩk, Janusz & Cădariu, Liviu, 2016. "Stability for a family of equations generalizing the equation of p-Wright affine functions," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 158-171.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:158-171
    DOI: 10.1016/j.amc.2015.12.001
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    References listed on IDEAS

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    1. Liviu Cădariu & Viorel Radu, 2011. "A General Fixed Point Method for the Stability of Cauchy Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 19-32, Springer.
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