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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Fixed Points of Non-expansive Operators on Weakly Cauchy Normed Spaces

Sahar Mohamed Ali

Abstract

We proved the existence of fixed points of non-expansive operators defined on weakly Cauchy spaces in which parallelogram law holds, the given normed space is not necessarily be uniformly convex Banach space or Hilbert space, we reduced the completeness and the uniform convexity assumptions which imposed on the given normed space.

Journal of Mathematics and Statistics
Volume 3 No. 2, 2007, 54-57

DOI: https://doi.org/10.3844/jmssp.2007.54.57

Submitted On: 27 November 2006 Published On: 30 June 2007

How to Cite: Ali, S. M. (2007). Fixed Points of Non-expansive Operators on Weakly Cauchy Normed Spaces. Journal of Mathematics and Statistics, 3(2), 54-57. https://doi.org/10.3844/jmssp.2007.54.57

Open AccessCopyright: © 2007 Sahar Mohamed Ali. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fixed points
  • non-expensive operators
  • normed spaces
  • convexity