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Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • Liviu Cădariu

    (“Politehnica” University of Timişoara)

  • Viorel Radu

    (West University of Timişoara)

Abstract

Some results of G. Isac and Th. M. Rassias on ψ-additive mappings will be slightly extended by proving a stability theorem for functions defined on generalized α-normed spaces and taking values in β-normed spaces. We will show that some well-known theorems concerning the stability of Cauchy’s functional equation can be obtained as consequences of our results.

Suggested Citation

  • Liviu Cădariu & Viorel Radu, 2010. "Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 23-36, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0158-3_3
    DOI: 10.1007/978-1-4419-0158-3_3
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