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

Liviu Cădariu () and Viorel Radu ()
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Liviu Cădariu: “Politehnica” University of Timişoara
Viorel Radu: West University of Timişoara

Chapter Chapter 3 in Nonlinear Analysis and Variational Problems, 2010, pp 23-36 from Springer

Abstract: 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.

Keywords: Functional Equation; Normed Space; Generalize Stability; Real Banach Space; Stability Theorem (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_3

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DOI: 10.1007/978-1-4419-0158-3_3

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