EXTENSION OF FUZZY CONTRACTION MAPPINGS

Authors

  • H VOSOUGHI Department of Mathematics, Faculty of Science, Islamshahr Branch, Islamic Azad University, Islamshahr, Tehran, Iran
  • S. J Hosseini Ghoncheh Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract:

In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.    

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Journal title

volume 9  issue 5

pages  1- 6

publication date 2014-02-20

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