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Open AccessArticle

Fixed Point Theorems via α-ϱ-Fuzzy Contraction

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Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan
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KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
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Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
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Authors to whom correspondence should be addressed.
Axioms 2019, 8(2), 69; https://doi.org/10.3390/axioms8020069
Received: 12 March 2019 / Revised: 7 May 2019 / Accepted: 9 May 2019 / Published: 31 May 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
Some well known results from the existing literature are extended and generalized via new contractive type mappings in fuzzy metric spaces. A non trivial supporting example is also provided to demonstrate the validity of the obtained results. View Full-Text
Keywords: fuzzy metric space; α-ϱ-fuzzy contraction; M-cauchy sequence; G-cauchy sequence fuzzy metric space; α-ϱ-fuzzy contraction; M-cauchy sequence; G-cauchy sequence
MDPI and ACS Style

Rome, B.-E.-.; Sarwar, M.; Kumam, P. Fixed Point Theorems via α-ϱ-Fuzzy Contraction. Axioms 2019, 8, 69.

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