Horizontal weak compatibility of mappings and common fixed points in dislocated fuzzy metric space

2014 ◽  
Vol 8 ◽  
pp. 5641-5652
Author(s):  
Reny George ◽  
Hossam A Nabwey ◽  
K.P. Reshma ◽  
R. Rajagopalan
2016 ◽  
Vol 5 (3) ◽  
pp. 32
Author(s):  
SHARMA PRANJALI ◽  
DIWAN SHAILESH DHAR ◽  
◽  

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Mi Zhou ◽  
Xiao-lan Liu ◽  
Nicolae Adrian Secelean

In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces. Second, we study the topological properties of S∗−fuzzy metric spaces. Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings. Furthermore, we also obtain the common fixed point theorems for weak compatibility along with E.A. property or CLRg property. Our results extend and improve very recent theorems in the related literature.


2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
P. P. Murthy ◽  
Rashmi Kenvat

We will introduce the concept ofn-tupled fixed points (for positive integern) in fuzzy metric space by mild modification of the concept ofn-tupled fixed points (for even positive intergern) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish somen-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems fornvariables and an integral system.


2014 ◽  
Vol 4 (5) ◽  
pp. 324-331
Author(s):  
Arihant Jain ◽  
◽  
V. H. Badshah ◽  
V. K. Gupta ◽  
Arvind Kumar Sharma ◽  
...  

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