Generalized Ulam–Hyers Stability Results: A Fixed Point Approach

Liviu Cădariu ()
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Liviu Cădariu: Politehnica University of Timişoara

A chapter in Handbook of Functional Equations, 2014, pp 101-111 from Springer

Abstract: 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.

Keywords: Generalized; Ulam–Hyers stability; Fixed point approach; Monomial functional equation; Cauchy functional equation; β-norm (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-1286-5_5

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DOI: 10.1007/978-1-4939-1286-5_5

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