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Nonlinear Analysis pp 495–501Cite as

On the Stability of an Additive Mapping

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

Abstract

In this work, the Hyers–Ulam stability of the functional equation f(x+y+xy)=f(x+y)+f(xy) is proved.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

    Abbas Najati

Authors
  1. Abbas Najati
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Corresponding author

Correspondence to Abbas Najati .

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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Najati, A. (2012). On the Stability of an Additive Mapping. 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_30

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