University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 9 5 2014 02 20 EXTENSION OF FUZZY CONTRACTION MAPPINGS EXTENSION OF FUZZY CONTRACTION MAPPINGS 1 6 85 10.22111/ijfs.2014.85 EN 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 Journal Article 2013 12 22 In a fuzzy metric space (<span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">X;M; </span></span><span style="font-size: xx-small; font-family: CMSY8;"><span style="font-size: xx-small; font-family: CMSY8;">*</span></span><span style="font-size: xx-small; font-family: CMR8;"><span style="font-size: xx-small; font-family: CMR8;">), where </span></span><span style="font-size: xx-small; font-family: CMSY8;"><span style="font-size: xx-small; font-family: CMSY8;">* </span></span><span style="font-size: xx-small; font-family: CMR8;"><span style="font-size: xx-small; font-family: CMR8;">is a continuous </span></span><span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">t</span></span><span style="font-size: xx-small; font-family: CMSY8;"><span style="font-size: xx-small; font-family: CMSY8;">-</span></span><span style="font-size: xx-small; font-family: CMR8;">norm,</span>a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if <span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">f </span></span><span style="font-size: xx-small; font-family: CMR8;">satis es the </span>locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition. <br />  <br />  https://ijfs.usb.ac.ir/article_85_de05589897c8a0532907b3e4386dff22.pdf