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Inequalities in Additive-isometries on Linear-normed Banach Spaces

Journal of Inequalities and Applications volume 2007, Article number: 070597 (2007) Cite this article

Abstract

We prove the generalized Hyers-Ulam stability of additive-isometries on linear-normed Banach spaces.

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Authors and Affiliations

  1. Department of Mathematics, Hanyang University, Seoul, 133-791, South Korea

    Choonkil Park

  2. Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, 15780, Greece

    Themistocles M Rassias

Authors
  1. Choonkil Park
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  2. Themistocles M Rassias
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Correspondence to Choonkil Park.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Park, C., Rassias, T.M. Inequalities in Additive-isometries on Linear-normed Banach Spaces. J Inequal Appl 2007, 070597 (2007). https://doi.org/10.1155/2007/70597

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  • DOI: https://doi.org/10.1155/2007/70597

Keywords

  • Banach Space
  • Normed Banach Space