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2008 Isometric additive mappings in generalized quasi-Banach spaces
Chun-Gil Park , Themistocles M. Rassias
Banach J. Math. Anal. 2(1): 59-69 (2008). DOI: 10.15352/bjma/1240336274

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of the isometric additive mappings in generalized quasi-Banach spaces, and prove the generalized Hyers-Ulam stability of the isometric additive mappings in generalized $p$-Banach spaces.

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Chun-Gil Park . Themistocles M. Rassias. "Isometric additive mappings in generalized quasi-Banach spaces." Banach J. Math. Anal. 2 (1) 59 - 69, 2008. https://doi.org/10.15352/bjma/1240336274

Information

Published: 2008
First available in Project Euclid: 21 April 2009

zbMATH: 1139.39042
MathSciNet: MR2404710
Digital Object Identifier: 10.15352/bjma/1240336274

Subjects:
Primary: 39B72
Secondary: 46B04 , 47Jxx , 51Kxx

Keywords: Cauchy mapping , generalized Hyers-Ulam stability , generalized p-Banach space , generalized quasi-Banach space , isometry , Jensen mapping

Rights: Copyright © 2008 Tusi Mathematical Research Group

Vol.2 • No. 1 • 2008
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