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Handbook of Functional Equations pp 101–111Cite as

Generalized Ulam–Hyers Stability Results: A Fixed Point Approach

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 96))

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.

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Authors and Affiliations

  1. Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei no. 2, 300006, Timişoara, Romania

    Liviu Cădariu

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  1. Liviu Cădariu
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Correspondence to Liviu Cădariu .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Cădariu, L. (2014). Generalized Ulam–Hyers Stability Results: A Fixed Point Approach. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1286-5_5

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