On the Generalized Hyers–Ulam Stability in Multi-Banach Spaces Associated to a Jensen-type Additive Mapping

Fridoun Moradlou () and Themistocles M. Rassias ()
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Fridoun Moradlou: Sahand University of Technology, Department of Mathematics
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Mathematics Without Boundaries, 2014, pp 337-356 from Springer

Abstract: Abstract Using the fixed point method, we prove the generalized Hyers–Ulam–Rassias stability of the following functional equation in multi-Banach spaces: (1) $$\begin{aligned} f\left(\frac{\sum_{i=1}^{n}r_ix_i}{k}\right)+ \sum_{1 \le i

Keywords: 2010 Mathematics subject classification; Primary 39B82; Secondary 39B52; 46B99 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_14

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DOI: 10.1007/978-1-4939-1106-6_14

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