EXTENSION OF FUZZY CONTRACTION MAPPINGS

نویسندگان
VOSOUGHI, H ID 1
Hosseini Ghoncheh, S. J ID 2

1 Department of Mathematics, Faculty of Science, Islamshahr Branch, Islamic Azad University, Islamshahr, Tehran, Iran

2 Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

doi
10.22111/ijfs.2014.85
چکیده

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.    

کلیدواژه‌ها
Fuzzy metric space, Fuzzy contraction, Fuzzy contractivity