scholarly journals Common Fixed Point Theorem for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces using Implicit Relation

2014 ◽  
Vol 2 (1) ◽  
pp. 209-218
Author(s):  
Saurabh Manro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

scholarly journals A fixed point theorem in Menger space

1970 ◽  
Vol 7 (1) ◽  
pp. 9-17
Author(s):  
BD Pant ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Subject Classification ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Menger Space ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

The purpose of this paper is to introduce the concept of weakly compatible maps in Menger space and prove a common fixed point theorem in this space.2010 Mathematics Subject Classification: 54H25.Keywords: Triangle norm; Menger space; Fixed point theorem; Weakly compatible mapsDOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5417 KUSET 2011; 7(1): 9-17

scholarly journals Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Balbir Singh ◽  
Vishal Gupta ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Menger Space ◽  
Weakly Compatible ◽  
Menger Spaces ◽  
Common Fixed Point Theorem

First, we prove a common fixed point theorem using weakly compatible maps in 2-Menger space with t-norm of Hadzic type. Second, we prove a common fixed point theorem using the E.A. property along with weakly compatible maps. Further, we obtained a common fixed point theorem using the CLR property along with weakly compatible maps. At the end, we provide an application of our main theorem for four finite families of mappings.

scholarly journals A common fixed point theorem using implicit relation and property (E.A) in metric spaces

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 211-234 ◽  
Author(s):  
H. Pathak ◽  
Rosana Rodriguez-López ◽  
R.K. Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Implicit Relation ◽  
Weak Compatibility ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem for a quadruple of mappings by using an implicit relation [6] and property (E.A) [1] under weak compatibility. Our theorem improves and generalizes the main Theorems of Popa [6] and Aamri and Moutawakil [1] .Various examples verify the importance of weak compatibility and property (E.A) in the existence of common fixed point and examples are also given to the implicit relation and to validate our main Theorem. We also show that property (E.A) and Meir-Keeler type contractive condition are independent to each other. .

scholarly journals Presic Type Fixed Point Theorem for Four Maps in Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-4 ◽  
Author(s):  
K. P. R. Rao ◽  
Sk. Sadik ◽  
S. Manro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible

We obtained a Presic type fixed point theorem for two pairs of jointly2k-weakly compatible maps in metric spaces. We also have given an example to illustrate our main theorem.

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