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Ψ-Aditive Mappings and Hyers–Ulam Stability

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • P. Găvruţa

    (Universitatea Politehnica din Timişoara)

  • L. Găvruţa

    (Universitatea Politehnica din Timişoara)

Abstract

The notion of ψ-additive mappings was first introduced by George Isac related to the asymptotic derivative of mappings. Hyers–Ulam stability of those mappings was studied by G. Isac, Th.M. Rassias and many other authors: L. Cădariu, H.G. Dales, V. Faiziev, P. Găvruţa, R. Ger, J. Matkowski, M.S. Moslehian,S.Z. Nemeth , and V. Radu. In this paper we give a short survey about the Hyers–Ulam stability of ψ-additive mappings.

Suggested Citation

  • P. Găvruţa & L. Găvruţa, 2010. "Ψ-Aditive Mappings and Hyers–Ulam Stability," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 81-86, Springer.
  • Handle: RePEc:spr:spochp:978-1-4419-0158-3_7
    DOI: 10.1007/978-1-4419-0158-3_7
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