Strong coupled fixed point analysis in fuzzy metric spaces and an application to Urysohn integral equations

Authorea ◽  
2020 ◽  
Author(s):  
Xiangling Li ◽  
Saif Rehman ◽  
Sami Khan ◽  
Nawab Hussain ◽  
Jamshaid Ahmad ◽  
...  
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Urysohn Integral Equations ◽  
Point Analysis

scholarly journals Control Fuzzy Metric Spaces via Orthogonality with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Fahim Uddin ◽  
Khalil Javed ◽  
Hassen Aydi ◽  
Umar Ishtiaq ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Fuzzy Integral ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature.

scholarly journals Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 404
Author(s):  
Vishal Gupta ◽  
Wasfi Shatanawi ◽  
Ashima Kanwar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
The Common ◽  
Coupled Maps ◽  
Common Limit Range Property

The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M → M and Ω : M → M . We utilize our new notion to present and prove our new fixed point results.

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

Coupled Fixed Point Results in Partially Ordered Fuzzy Metric Spaces

2015 ◽  
Vol 11 (4) ◽  
pp. 1-10
Author(s):  
B Choudhury ◽  
P Das ◽  
P Bhattacharyya ◽  
P Saha ◽  
P Lata
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Partially Ordered ◽  
Fuzzy Metric
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