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

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 Coupled coincidence and coupled common fixed point theorem in dislocated quasi metric space

2020 ◽  
Vol 3 (4) ◽  
pp. 11-18
Author(s):  
Mitiku Damene ◽  
◽  
Kidane Koyas ◽  
Solomon Gebregiorgis ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Considerable Improvement ◽  
Contractive Condition ◽  
Coupled Common Fixed Point ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Coupled Coincidence

The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.

A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak

2006 ◽  
Vol 13 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Mohamed Akkouchi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

Abstract In this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in 1986.

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