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The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces

Abstract

We show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the paper by J. Falset et al. (2006) by giving the examples and the motivation to find the geometric properties that are weaker than uniformly nonsquare but still possess the fixed point property in any Banach spaces.

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Correspondence to Narin Petrot.

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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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Petrot, N. The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces. J Inequal Appl 2008, 162037 (2008). https://doi.org/10.1155/2008/162037

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  • DOI: https://doi.org/10.1155/2008/162037

Keywords

  • Banach Space
  • Geometric Property
  • Sequence Space
  • Full Article
  • Point Property