scholarly journals Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Bhavana Deshpande ◽  
Amrish Handa
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Weakly Compatible ◽  
Coupled Fixed Point Theorem ◽  
Uniqueness Of The Solution ◽  
Nonlinear Fredholm Integral Equation

We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result.

scholarly journals Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps along withCLRgProperty in Fuzzy Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Manish Jain ◽  
Kenan Tas ◽  
Sanjay Kumar ◽  
Neetu Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible

The aim of this paper is to extend the notions of E.A. property andCLRgproperty for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.

Coupled fixed point theorem in $b-$fuzzy metric spaces

2016 ◽  
Vol 47 (1) ◽  
pp. 77-88
Author(s):  
Tatjana Došenović ◽  
Atena Javaheri ◽  
Shaban Sedghi ◽  
Nabi Shobe
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Coupled Fixed Point Theorem

scholarly journals Common fixed point results for various mappings in fuzzy metric spaces with application

2019 ◽  
Vol 38 (5) ◽  
pp. 33-71
Author(s):  
Manish Jain ◽  
Neetu Gupta ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Coupled Fixed Point ◽  
Point Theory ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible

In this paper, first we discuss the variants of the weakly commuting and compatible mappings in the context of coupled fixed point theory of fuzzy metric spaces. Secondly, we investigate the existence and uniqueness of the common fixed point for pairs of weakly compatible mappings satisfying a new contraction condition in the setup of fuzzy metric spaces with Had i  type t-norm . Further, we talk about some results for the variants of weakly commuting and compatible mappings. At the end, as an application, we obtain metrical version of the discussed results.

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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