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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

A Fixed Point Theorem for Contraction Type Mappings in Menger Spaces

Servet Kutukcu

Abstract

We proved a common fixed point theorem for a sequence of self maps satisfying a new contraction type condition in Menger spaces, results extended and generalize some known results in metric spaces and fuzzy metric spaces.

American Journal of Applied Sciences
Volume 4 No. 6, 2007, 371-373

DOI: https://doi.org/10.3844/ajassp.2007.371.373

Submitted On: 16 September 2006 Published On: 30 June 2007

How to Cite: Kutukcu, S. (2007). A Fixed Point Theorem for Contraction Type Mappings in Menger Spaces. American Journal of Applied Sciences, 4(6), 371-373. https://doi.org/10.3844/ajassp.2007.371.373

Open AccessCopyright: © 2007 Servet Kutukcu. 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 point
  • contraction map
  • Menger probabilistic metric space