scholarly journals Weakly Compatible Mappings along with $CLR_{S}$ property in Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Saurabh Manro ◽  
S. Bhatia ◽  
Sanjay Kumar ◽  
Poom Kumam ◽  
Sumitra Dalal
Keyword(s):  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible

scholarly journals Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

We prove some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani by using the new property and give some examples. Our results improve and generalize the main results of Mihet in (Mihet, 2010) and many fixed point theorems in fuzzy metric spaces.

scholarly journals Common Fixed Points of Weakly Compatible Mappings in ~-Chainable Intuitionistic Fuzzy Metric Spaces

2012 ◽  
Vol 1 (1) ◽  
pp. 14
Author(s):  
Seema Mehra
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

The aim of this paper is to introduce the notion of~-chainable intuitionistic fuzzy metric spaces and prove a common fixed point theorem for four weakly compatible mappings in this newly defined space. Our result is intuitionistic fuzzy version of Cho and Jung's [1] and Mukherjee's [9] results in ~-chainable fuzzy metric space.

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