α-type fuzzy <em>H</em>-contractive mappings in fuzzy metric spaces


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	α-type fuzzy H-contractive mappings in fuzzy metric spaces


	Fixed Point Theory, Volume 19, No. 2, 2018, 463-474, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.37 Authors: I. Beg, D. Gopal, T. Došenović and D. Rakić Abstract: We introduce a new concept of α-fuzzy H-contractive mapping which is essentially weaker than the class of fuzzy contractive mapping and stronger than the concept of α-φ-fuzzy contractive mapping. For this type of contractions, the existence and uniqueness of fixed point in fuzzy M-complete metric spaces is also established. Key Words and Phrases: Contractive mapping, fixed point, t-norm, fuzzy metric space, strong fuzzy metric space. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents