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Generalized Ulam–Hyers Stability Results: A Fixed Point Approach

In: Handbook of Functional Equations

Author

Listed:
  • Liviu Cădariu

    (Politehnica University of Timişoara)

Abstract

We show that a recent fixed point result in (Cădariu et al., Abstr. Appl. Anal., 2012) can be used to prove some generalized Ulam–Hyers stability theorems for additive Cauchy functional equation as well as for the monomial functional equation in β-normed spaces.

Suggested Citation

  • Liviu Cădariu, 2014. "Generalized Ulam–Hyers Stability Results: A Fixed Point Approach," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Handbook of Functional Equations, edition 127, pages 101-111, Springer.
    • Handle: RePEc:spr:spochp:978-1-4939-1286-5_5
    DOI: 10.1007/978-1-4939-1286-5_5
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