scholarly journals Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces

2016 ◽  
Vol 09 (03) ◽  
pp. 806-818 ◽  
Author(s):  
Jing-Feng Tian ◽  
Xi-Mei Hu ◽  
Hong-Shan Zhao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Tripled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Tripled Fixed Point

scholarly journals Generalization of Singh’s Common Fixed Point Theorem

2019 ◽  
Vol 8 (6S4) ◽  
pp. 1066-1069
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorem

In this article, I generalize Singh’s common fixed point theorem for compatible mappings in fuzzy metric spaces. Examples are given to support the results proved herein.

scholarly journals A fixed point theorem of Kannan type that characterizes fuzzy metric completeness

Filomat ◽  
2020 ◽  
Vol 34 (14) ◽  
pp. 4811-4819
Author(s):  
Salvador Romaguera
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Kannan Contraction

We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, our theorem allows to characterize the fuzzy metric completeness, extending in this way the well-known Reich-Subrahmanyam theorem that a metric space is complete if and only if every Kannan contraction on it has a fixed point.

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