Common fixed point theorem for weakly compatible mapping

2007 ◽  
Vol 2 ◽  
pp. 2831-2839 ◽  
Author(s):  
H. K. Pathak ◽  
P. Singh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Weakly Compatible ◽  
Compatible Mapping ◽  
Common Fixed Point Theorem

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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