Common fixed point theorem of weakly compatible maps in partial metric space

2016 ◽  
Vol 7 (3) ◽  
pp. 137
Author(s):  
Jitender Kumar ◽  
Sachin Vashistha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem using weakly compatible maps in partial metric space, which generalizes the result of Altun and Sadarangani  [12].

scholarly journals Common Fixed Point for Weakly Compatible Maps in Metric Space

1970 ◽  
Vol 3 (2) ◽  
pp. 21-26
Author(s):  
K Jha
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Engineering And Technology ◽  
Common Fixed Point Theorem

A common fixed point theorem involving two pairs of weakly compatible mappings is proved under a Lipschitz type contractive condition, which is independent of the known contractive definitions. Keywords: fixed point; complete metric space; weakly compatible maps. DOI: 10.3126/kuset.v3i2.2893 Kathmandu University Journal of Science, Engineering and Technology Vol.3, No.2, August 2007, pp 21-26

scholarly journals A common fixed point of weakly compatible mappings in dislocated metric space

2013 ◽  
Vol 8 (2) ◽  
pp. 25-30 ◽  
Author(s):  
D Panthi ◽  
K Jha
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Dislocated Metric Space ◽  
Engineering And Technology ◽  
Dislocated Metric ◽  
Common Fixed Point Theorem

The purpose of this paper is to establish a common fixed point theorem for pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 25-30 DOI: http://dx.doi.org/10.3126/kuset.v8i2.7321

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.

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